Blaschke's rolling theorem in R n:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, RI
American Mathematical Society
1989
|
| Series: | American Mathematical Society: Memoirs of the American Mathematical Society
405 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Volume 80, Number 405 (first of 5 numbers) |
| Physical Description: | VI, 101 S. graph. Darst. |
| ISBN: | 082182466X |
Staff View
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV003574208 | ||
| 003 | DE-604 | ||
| 005 | 20150930 | ||
| 007 | t | ||
| 008 | 900725s1989 d||| |||| 00||| eng d | ||
| 020 | |a 082182466X |9 0-8218-2466-X | ||
| 035 | |a (OCoLC)19742055 | ||
| 035 | |a (DE-599)BVBBV003574208 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-384 |a DE-739 |a DE-824 |a DE-29T |a DE-83 | ||
| 050 | 0 | |a QA3 | |
| 082 | 0 | |a 510 |2 20 | |
| 082 | 0 | |a 516/.08 |2 20 | |
| 084 | |a 52A20 |2 msc | ||
| 084 | |a 51N20 |2 msc | ||
| 100 | 1 | |a Brooks, Jeffrey N. |d 1956- |e Verfasser |0 (DE-588)171991567 |4 aut | |
| 245 | 1 | 0 | |a Blaschke's rolling theorem in R n |c J. N. Brooks and J. B. Strantzen |
| 264 | 1 | |a Providence, RI |b American Mathematical Society |c 1989 | |
| 300 | |a VI, 101 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 405 | |
| 500 | |a Volume 80, Number 405 (first of 5 numbers) | ||
| 650 | 7 | |a Funcoes (Matematica) |2 larpcal | |
| 650 | 4 | |a Convex domains | |
| 650 | 4 | |a Convex sets | |
| 650 | 0 | 7 | |a Konvexer Körper |0 (DE-588)4165214-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Konvexe Menge |0 (DE-588)4165212-5 |2 gnd |9 rswk-swf |
| 655 | 7 | |a Konvexes Gebiet |2 gnd |9 rswk-swf | |
| 689 | 0 | 0 | |a Konvexes Gebiet |A f |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Konvexe Menge |0 (DE-588)4165212-5 |D s |
| 689 | 1 | |5 DE-604 | |
| 689 | 2 | 0 | |a Konvexer Körper |0 (DE-588)4165214-9 |D s |
| 689 | 2 | |8 1\p |5 DE-604 | |
| 700 | 1 | |a Strantzen, John B. |d 1942- |e Verfasser |0 (DE-588)172388457 |4 aut | |
| 830 | 0 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 405 |w (DE-604)BV008000141 |9 405 | |
| 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=002275561&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-002275561 | ||
| 883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
Record in the Search Index
| _version_ | 1804117924433100800 |
|---|---|
| adam_text | TABLE OF CONTENTS
Part I
Local Conditions for Containment
Chapter Page
0. INTRODUCTION 1
1. MAIN RESULT AND SKETCH PROOF 2
1.1 Definitions and Statement of Main Result 2
2. THE MAIN RESULT FOR CURVES 6
2.1 Preliminary Results and Notation 6
2.2 The Main Result for Curves 7
3. CONVEX REGIONS IN Rn 21
3.1 Preliminary Results 21
3.2 Faithful Projections 23
3.3 Proving Lemma 1.1.5 26
3.4 Proving Theorem 1.1.4 33
3.5 Possible Generalisations of the Main Theorem 41
4. THE SMOOTH CASE: APPLICATIONS TO DIFFERENTIAL GEOMETRY 47
4.1 Local Representation of S as a Function 47
4.2 Radii of Curvature Indicatrices 48
4.2 Semi Local Insideness in Terms of Radii of Curvature and Indicatrices 50
continued over page
iii
|
| any_adam_object | 1 |
| author | Brooks, Jeffrey N. 1956- Strantzen, John B. 1942- |
| author_GND | (DE-588)171991567 (DE-588)172388457 |
| author_facet | Brooks, Jeffrey N. 1956- Strantzen, John B. 1942- |
| author_role | aut aut |
| author_sort | Brooks, Jeffrey N. 1956- |
| author_variant | j n b jn jnb j b s jb jbs |
| building | Verbundindex |
| bvnumber | BV003574208 |
| callnumber-first | Q - Science |
| callnumber-label | QA3 |
| callnumber-raw | QA3 |
| callnumber-search | QA3 |
| callnumber-sort | QA 13 |
| callnumber-subject | QA - Mathematics |
| ctrlnum | (OCoLC)19742055 (DE-599)BVBBV003574208 |
| dewey-full | 510 516/.08 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics 516 - Geometry |
| dewey-raw | 510 516/.08 |
| dewey-search | 510 516/.08 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02115nam a2200529 cb4500</leader><controlfield tag="001">BV003574208</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20150930 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">900725s1989 d||| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">082182466X</subfield><subfield code="9">0-8218-2466-X</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)19742055</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV003574208</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-384</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA3</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510</subfield><subfield code="2">20</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">516/.08</subfield><subfield code="2">20</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">52A20</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">51N20</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Brooks, Jeffrey N.</subfield><subfield code="d">1956-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)171991567</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Blaschke's rolling theorem in R n</subfield><subfield code="c">J. N. Brooks and J. B. Strantzen</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Providence, RI</subfield><subfield code="b">American Mathematical Society</subfield><subfield code="c">1989</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VI, 101 S.</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">American Mathematical Society: Memoirs of the American Mathematical Society</subfield><subfield code="v">405</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Volume 80, Number 405 (first of 5 numbers)</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Funcoes (Matematica)</subfield><subfield code="2">larpcal</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Convex domains</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Convex sets</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Konvexer Körper</subfield><subfield code="0">(DE-588)4165214-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Konvexe Menge</subfield><subfield code="0">(DE-588)4165212-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="a">Konvexes Gebiet</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Konvexes Gebiet</subfield><subfield code="A">f</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">Konvexe Menge</subfield><subfield code="0">(DE-588)4165212-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Konvexer Körper</subfield><subfield code="0">(DE-588)4165214-9</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Strantzen, John B.</subfield><subfield code="d">1942-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)172388457</subfield><subfield code="4">aut</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">American Mathematical Society: Memoirs of the American Mathematical Society</subfield><subfield code="v">405</subfield><subfield code="w">(DE-604)BV008000141</subfield><subfield code="9">405</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=002275561&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-002275561</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield></record></collection> |
| genre | Konvexes Gebiet gnd |
| genre_facet | Konvexes Gebiet |
| id | DE-604.BV003574208 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T16:02:08Z |
| institution | BVB |
| isbn | 082182466X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002275561 |
| oclc_num | 19742055 |
| open_access_boolean | |
| owner | DE-384 DE-739 DE-824 DE-29T DE-83 |
| owner_facet | DE-384 DE-739 DE-824 DE-29T DE-83 |
| physical | VI, 101 S. graph. Darst. |
| publishDate | 1989 |
| publishDateSearch | 1989 |
| publishDateSort | 1989 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spelling | Brooks, Jeffrey N. 1956- Verfasser (DE-588)171991567 aut Blaschke's rolling theorem in R n J. N. Brooks and J. B. Strantzen Providence, RI American Mathematical Society 1989 VI, 101 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 405 Volume 80, Number 405 (first of 5 numbers) Funcoes (Matematica) larpcal Convex domains Convex sets Konvexer Körper (DE-588)4165214-9 gnd rswk-swf Konvexe Menge (DE-588)4165212-5 gnd rswk-swf Konvexes Gebiet gnd rswk-swf Konvexes Gebiet f DE-604 Konvexe Menge (DE-588)4165212-5 s Konvexer Körper (DE-588)4165214-9 s 1\p DE-604 Strantzen, John B. 1942- Verfasser (DE-588)172388457 aut American Mathematical Society: Memoirs of the American Mathematical Society 405 (DE-604)BV008000141 405 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002275561&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Brooks, Jeffrey N. 1956- Strantzen, John B. 1942- Blaschke's rolling theorem in R n American Mathematical Society: Memoirs of the American Mathematical Society Funcoes (Matematica) larpcal Convex domains Convex sets Konvexer Körper (DE-588)4165214-9 gnd Konvexe Menge (DE-588)4165212-5 gnd |
| subject_GND | (DE-588)4165214-9 (DE-588)4165212-5 |
| title | Blaschke's rolling theorem in R n |
| title_auth | Blaschke's rolling theorem in R n |
| title_exact_search | Blaschke's rolling theorem in R n |
| title_full | Blaschke's rolling theorem in R n J. N. Brooks and J. B. Strantzen |
| title_fullStr | Blaschke's rolling theorem in R n J. N. Brooks and J. B. Strantzen |
| title_full_unstemmed | Blaschke's rolling theorem in R n J. N. Brooks and J. B. Strantzen |
| title_short | Blaschke's rolling theorem in R n |
| title_sort | blaschke s rolling theorem in r n |
| topic | Funcoes (Matematica) larpcal Convex domains Convex sets Konvexer Körper (DE-588)4165214-9 gnd Konvexe Menge (DE-588)4165212-5 gnd |
| topic_facet | Funcoes (Matematica) Convex domains Convex sets Konvexer Körper Konvexe Menge Konvexes Gebiet |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002275561&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT brooksjeffreyn blaschkesrollingtheoreminrn AT strantzenjohnb blaschkesrollingtheoreminrn |