Kleinian groups and uniformization in examples and problems:
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Mathematical Society
1986
|
| Series: | Translations of Mathematical Monographs
62 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Aus dem Russischen übersetzt |
| Physical Description: | VII, 198 Seiten graph. Darst. |
| ISBN: | 0821845160 |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV000487780 | ||
| 003 | DE-604 | ||
| 005 | 20210511 | ||
| 007 | t | ||
| 008 | 870612s1986 d||| |||| 00||| eng d | ||
| 020 | |a 0821845160 |9 0-8218-4516-0 | ||
| 035 | |a (OCoLC)246828197 | ||
| 035 | |a (DE-599)BVBBV000487780 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-12 |a DE-91G |a DE-384 |a DE-739 |a DE-355 |a DE-29T |a DE-83 |a DE-188 | ||
| 084 | |a SK 750 |0 (DE-625)143254: |2 rvk | ||
| 084 | |a MAT 300f |2 stub | ||
| 100 | 1 | |a Kruškalʹ, Samuil L. |d 1937- |e Verfasser |0 (DE-588)172198909 |4 aut | |
| 240 | 1 | 0 | |a Klejnovy gruppy i uniformizacija v primerach i zadačach |
| 245 | 1 | 0 | |a Kleinian groups and uniformization in examples and problems |c by S. L. Krushkal, B. N. Apanasov, N. A. Gusevskiĭ |
| 264 | 1 | |a Providence, RI |b American Mathematical Society |c 1986 | |
| 300 | |a VII, 198 Seiten |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Translations of Mathematical Monographs |v 62 | |
| 500 | |a Aus dem Russischen übersetzt | ||
| 650 | 4 | |a Kleinsche Gruppe - Uniformisierung | |
| 650 | 0 | 7 | |a Mannigfaltigkeit |0 (DE-588)4037379-4 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Kleinsche Gruppe |0 (DE-588)4164159-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Uniformisierung |0 (DE-588)4268725-1 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Kleinsche Gruppe |0 (DE-588)4164159-0 |D s |
| 689 | 0 | 1 | |a Uniformisierung |0 (DE-588)4268725-1 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Kleinsche Gruppe |0 (DE-588)4164159-0 |D s |
| 689 | 1 | 1 | |a Mannigfaltigkeit |0 (DE-588)4037379-4 |D s |
| 689 | 1 | 2 | |a Uniformisierung |0 (DE-588)4268725-1 |D s |
| 689 | 1 | |5 DE-604 | |
| 700 | 1 | |a Apanasov, Boris Nikolaevič |d 1920- |e Verfasser |0 (DE-588)105576724X |4 aut | |
| 700 | 1 | |a Gusevskij, Nikolaj Aleksandrovič |e Verfasser |0 (DE-588)1070880450 |4 aut | |
| 830 | 0 | |a Translations of Mathematical Monographs |v 62 |w (DE-604)BV000002394 |9 62 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000301197&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 940 | 1 | |n oe | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-000301197 | |
Record in the Search Index
| _version_ | 1811335439399780352 |
|---|---|
| adam_text |
Contents
Foreword v
Editor's Preface to the English Translation vii
CHAPTER I. General Properties of Kleinian Groups 1
1. Main concepts 1
2. Kleinian groups in space 7
3. Combination theorems 11
4. Quasiconformal mappings and deformations of Kleinian groups 16
5. Finitely generated Kleinian groups. Cohomology methods.
Stability 21
CHAPTER II. Uniformization of Riemann Surfaces and Manifolds 27
1. What is uniformization? 27
2. The fundamental group and covering spaces. Planar coverings 30
3. Uniformization of Riemann surfaces 34
4. Uniformization by Kleinian groups 36
5. Teichmiiller spaces 41
6. Branched coverings of Riemann surfaces 50
7. Methods of three dimensional topology 54
8. Uniformization of multidimensional manifolds 58
CHAPTER III. Examples 63
1. General properties of Kleinian groups (fundamental sets, sets of
discontinuity) 63
2. Limit sets of Kleinian groups 77
3. Quasiconformal deformations of Kleinian groups 81
4. Kleinian groups that are not geometrically finite 90
5. Uniformization: Hyperbolic manifolds 97
6. Uniformization: Elliptic manifolds 113
7. General uniformization problems 117
iii
iv CONTENTS
CHAPTER IV. Problems and Exercises (further development of the
theory) 129
1. Exercises on the geometry of Kleinian groups 129
2. Exercises on the theory of uniformization 134
3. Problems: General properties of discontinuous groups 141
4. Problems: Methods of uniformization 149
CONCLUSION. Some Unsolved Problems 171
Bibliography 175
Supplementary Bibliography 189
Subject Index 195 |
| any_adam_object | 1 |
| author | Kruškalʹ, Samuil L. 1937- Apanasov, Boris Nikolaevič 1920- Gusevskij, Nikolaj Aleksandrovič |
| author_GND | (DE-588)172198909 (DE-588)105576724X (DE-588)1070880450 |
| author_facet | Kruškalʹ, Samuil L. 1937- Apanasov, Boris Nikolaevič 1920- Gusevskij, Nikolaj Aleksandrovič |
| author_role | aut aut aut |
| author_sort | Kruškalʹ, Samuil L. 1937- |
| author_variant | s l k sl slk b n a bn bna n a g na nag |
| building | Verbundindex |
| bvnumber | BV000487780 |
| classification_rvk | SK 750 |
| classification_tum | MAT 300f |
| ctrlnum | (OCoLC)246828197 (DE-599)BVBBV000487780 |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000 cb4500</leader><controlfield tag="001">BV000487780</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20210511</controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">870612s1986 d||| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0821845160</subfield><subfield code="9">0-8218-4516-0</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)246828197</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV000487780</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-12</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-188</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 750</subfield><subfield code="0">(DE-625)143254:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 300f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Kruškalʹ, Samuil L.</subfield><subfield code="d">1937-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)172198909</subfield><subfield code="4">aut</subfield></datafield><datafield tag="240" ind1="1" ind2="0"><subfield code="a">Klejnovy gruppy i uniformizacija v primerach i zadačach</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Kleinian groups and uniformization in examples and problems</subfield><subfield code="c">by S. L. Krushkal, B. N. Apanasov, N. A. Gusevskiĭ</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Providence, RI</subfield><subfield code="b">American Mathematical Society</subfield><subfield code="c">1986</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VII, 198 Seiten</subfield><subfield code="b">graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Translations of Mathematical Monographs</subfield><subfield code="v">62</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Aus dem Russischen übersetzt</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Kleinsche Gruppe - Uniformisierung</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Mannigfaltigkeit</subfield><subfield code="0">(DE-588)4037379-4</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Kleinsche Gruppe</subfield><subfield code="0">(DE-588)4164159-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Uniformisierung</subfield><subfield code="0">(DE-588)4268725-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Kleinsche Gruppe</subfield><subfield code="0">(DE-588)4164159-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Uniformisierung</subfield><subfield code="0">(DE-588)4268725-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Kleinsche Gruppe</subfield><subfield code="0">(DE-588)4164159-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Mannigfaltigkeit</subfield><subfield code="0">(DE-588)4037379-4</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="2"><subfield code="a">Uniformisierung</subfield><subfield code="0">(DE-588)4268725-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Apanasov, Boris Nikolaevič</subfield><subfield code="d">1920-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)105576724X</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Gusevskij, Nikolaj Aleksandrovič</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1070880450</subfield><subfield code="4">aut</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Translations of Mathematical Monographs</subfield><subfield code="v">62</subfield><subfield code="w">(DE-604)BV000002394</subfield><subfield code="9">62</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000301197&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="n">oe</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-000301197</subfield></datafield></record></collection> |
| id | DE-604.BV000487780 |
| illustrated | Illustrated |
| indexdate | 2024-09-27T08:01:26Z |
| institution | BVB |
| isbn | 0821845160 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000301197 |
| oclc_num | 246828197 |
| open_access_boolean | |
| owner | DE-12 DE-91G DE-BY-TUM DE-384 DE-739 DE-355 DE-BY-UBR DE-29T DE-83 DE-188 |
| owner_facet | DE-12 DE-91G DE-BY-TUM DE-384 DE-739 DE-355 DE-BY-UBR DE-29T DE-83 DE-188 |
| physical | VII, 198 Seiten graph. Darst. |
| publishDate | 1986 |
| publishDateSearch | 1986 |
| publishDateSort | 1986 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Translations of Mathematical Monographs |
| series2 | Translations of Mathematical Monographs |
| spelling | Kruškalʹ, Samuil L. 1937- Verfasser (DE-588)172198909 aut Klejnovy gruppy i uniformizacija v primerach i zadačach Kleinian groups and uniformization in examples and problems by S. L. Krushkal, B. N. Apanasov, N. A. Gusevskiĭ Providence, RI American Mathematical Society 1986 VII, 198 Seiten graph. Darst. txt rdacontent n rdamedia nc rdacarrier Translations of Mathematical Monographs 62 Aus dem Russischen übersetzt Kleinsche Gruppe - Uniformisierung Mannigfaltigkeit (DE-588)4037379-4 gnd rswk-swf Kleinsche Gruppe (DE-588)4164159-0 gnd rswk-swf Uniformisierung (DE-588)4268725-1 gnd rswk-swf Kleinsche Gruppe (DE-588)4164159-0 s Uniformisierung (DE-588)4268725-1 s DE-604 Mannigfaltigkeit (DE-588)4037379-4 s Apanasov, Boris Nikolaevič 1920- Verfasser (DE-588)105576724X aut Gusevskij, Nikolaj Aleksandrovič Verfasser (DE-588)1070880450 aut Translations of Mathematical Monographs 62 (DE-604)BV000002394 62 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000301197&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kruškalʹ, Samuil L. 1937- Apanasov, Boris Nikolaevič 1920- Gusevskij, Nikolaj Aleksandrovič Kleinian groups and uniformization in examples and problems Translations of Mathematical Monographs Kleinsche Gruppe - Uniformisierung Mannigfaltigkeit (DE-588)4037379-4 gnd Kleinsche Gruppe (DE-588)4164159-0 gnd Uniformisierung (DE-588)4268725-1 gnd |
| subject_GND | (DE-588)4037379-4 (DE-588)4164159-0 (DE-588)4268725-1 |
| title | Kleinian groups and uniformization in examples and problems |
| title_alt | Klejnovy gruppy i uniformizacija v primerach i zadačach |
| title_auth | Kleinian groups and uniformization in examples and problems |
| title_exact_search | Kleinian groups and uniformization in examples and problems |
| title_full | Kleinian groups and uniformization in examples and problems by S. L. Krushkal, B. N. Apanasov, N. A. Gusevskiĭ |
| title_fullStr | Kleinian groups and uniformization in examples and problems by S. L. Krushkal, B. N. Apanasov, N. A. Gusevskiĭ |
| title_full_unstemmed | Kleinian groups and uniformization in examples and problems by S. L. Krushkal, B. N. Apanasov, N. A. Gusevskiĭ |
| title_short | Kleinian groups and uniformization in examples and problems |
| title_sort | kleinian groups and uniformization in examples and problems |
| topic | Kleinsche Gruppe - Uniformisierung Mannigfaltigkeit (DE-588)4037379-4 gnd Kleinsche Gruppe (DE-588)4164159-0 gnd Uniformisierung (DE-588)4268725-1 gnd |
| topic_facet | Kleinsche Gruppe - Uniformisierung Mannigfaltigkeit Kleinsche Gruppe Uniformisierung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000301197&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000002394 |
| work_keys_str_mv | AT kruskalʹsamuill klejnovygruppyiuniformizacijavprimerachizadacach AT apanasovborisnikolaevic klejnovygruppyiuniformizacijavprimerachizadacach AT gusevskijnikolajaleksandrovic klejnovygruppyiuniformizacijavprimerachizadacach AT kruskalʹsamuill kleiniangroupsanduniformizationinexamplesandproblems AT apanasovborisnikolaevic kleiniangroupsanduniformizationinexamplesandproblems AT gusevskijnikolajaleksandrovic kleiniangroupsanduniformizationinexamplesandproblems |