Minimal surfaces in IR3:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1986
|
| Schriftenreihe: | Lecture notes in mathematics
1195 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Auch als: Monografias de matemática ; 40 |
| Beschreibung: | X, 124 S. graph. Darst. |
| ISBN: | 354016491X 038716491X |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV006110743 | ||
| 003 | DE-604 | ||
| 005 | 20140408 | ||
| 007 | t| | ||
| 008 | 921030s1986 xx d||| |||| 00||| eng d | ||
| 020 | |a 354016491X |9 3-540-16491-X | ||
| 020 | |a 038716491X |9 0-387-16491-X | ||
| 035 | |a (OCoLC)611700162 | ||
| 035 | |a (DE-599)BVBBV006110743 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-355 |a DE-20 |a DE-29T |a DE-706 |a DE-19 |a DE-188 |a DE-91G |a DE-634 |a DE-83 |a DE-12 |a DE-11 |a DE-824 |a DE-898 | ||
| 050 | 0 | |a QA3 | |
| 082 | 0 | |a 516.3/62 |2 19 | |
| 082 | 0 | |a 510 |2 19 | |
| 084 | |a SI 850 |0 (DE-625)143199: |2 rvk | ||
| 084 | |a MAT 537f |2 stub | ||
| 084 | |a 53C42 |2 msc | ||
| 100 | 1 | |a Barbosa, João Lucas M. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Minimal surfaces in IR3 |c J. Lucas M. Barbosa ; A. Gervasio Colares |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1986 | |
| 300 | |a X, 124 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in mathematics |v 1195 | |
| 500 | |a Auch als: Monografias de matemática ; 40 | ||
| 650 | 4 | |a Immersions (Mathématiques) | |
| 650 | 4 | |a Surfaces minimales | |
| 650 | 4 | |a Immersions (Mathematics) | |
| 650 | 4 | |a Minimal surfaces | |
| 650 | 0 | 7 | |a Dreidimensionaler Raum |0 (DE-588)4220292-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Minimalfläche |0 (DE-588)4127814-8 |2 gnd |9 rswk-swf |
| 655 | 7 | |a Minimale Oberfläche |2 gnd |9 rswk-swf | |
| 689 | 0 | 0 | |a Minimalfläche |0 (DE-588)4127814-8 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Minimalfläche |0 (DE-588)4127814-8 |D s |
| 689 | 1 | 1 | |a Dreidimensionaler Raum |0 (DE-588)4220292-9 |D s |
| 689 | 1 | |5 DE-604 | |
| 689 | 2 | 0 | |a Minimale Oberfläche |A f |
| 689 | 2 | |5 DE-604 | |
| 700 | 1 | |a Colares, Antonio Gervasio |e Verfasser |4 aut | |
| 830 | 0 | |a Lecture notes in mathematics |v 1195 |w (DE-604)BV000676446 |9 1195 | |
| 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=003860398&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 940 | 1 | |q TUB-www | |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-003860398 | |
Datensatz im Suchindex
| _version_ | 1817416738294202368 |
|---|---|
| adam_text |
TABLE OF CONTENTS
Preface
Preface to the English language edition
CHAPTER I
A PRELIMINARY DISCUSSION
1. Introduction 1
2. The Catenoid 5
3. The Helicoid 7
CHAPTER II
THE WEIERSTRASS REPRESENTATION
AND THE CLASSICAL EXAMPLES
1. The Weierstrass representation 10
2. The Helicoid 18
3. The Catenoid 20
k. Scherk's surface 22
5« Enneper's surface 24
6. Henneberg's surface 25
CHAPTER III
COMPLETE MINIMAL SURFACE WITH FINITE
TOTAL CURVATURE
1. Complete minimal surfaces 28
2. Complete minimal surface with finite total curvature 37
CHAPTER IV
RECENT EXAMPLES OF COMPLETE MINIMAL SURFACES
1. Complete minimal surfaces of genus zero with n ends 52
2. Complete minimal Mobius strips 59
3. A nonorientable complete minimal surface of genus one
with two ends and total curvature -1OTT 62
4. Complete minimal immersions of surfaces of arbitrary
genus with any number of ends 65
5» A complete minimal surface of genus two with one end
and total curvature -12TT 71
6. A complete minimal surface of genus one with one end
and total curvature -8tt 78
7. A complete minimal surface of genus one with three ends
and total curvature -12TT 81
8. A complete minimal surface of genus one with two ends
and total curvature -20rr 90
9. A complete minimal surface between two parallel planes 94
CHAPTER V
NONEXISTENCE OF CERTAIN MINIMAL SURFACES
Nonexistence of complete finite total curvature minimal
surfaces of genus zero with 3, 4 or 5 ends 98
- Nonexistence of a complete projective plane minimally
immersed with total curvature' -6tt and 2 ends 103
REFERENCES 114
INDEX 122 |
| any_adam_object | 1 |
| author | Barbosa, João Lucas M. Colares, Antonio Gervasio |
| author_facet | Barbosa, João Lucas M. Colares, Antonio Gervasio |
| author_role | aut aut |
| author_sort | Barbosa, João Lucas M. |
| author_variant | j l m b jlm jlmb a g c ag agc |
| building | Verbundindex |
| bvnumber | BV006110743 |
| callnumber-first | Q - Science |
| callnumber-label | QA3 |
| callnumber-raw | QA3 |
| callnumber-search | QA3 |
| callnumber-sort | QA 13 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 850 |
| classification_tum | MAT 537f |
| ctrlnum | (OCoLC)611700162 (DE-599)BVBBV006110743 |
| dewey-full | 516.3/62 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry 510 - Mathematics |
| dewey-raw | 516.3/62 510 |
| dewey-search | 516.3/62 510 |
| dewey-sort | 3516.3 262 |
| 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>00000nam a2200000 cb4500</leader><controlfield tag="001">BV006110743</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20140408</controlfield><controlfield tag="007">t|</controlfield><controlfield tag="008">921030s1986 xx d||| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">354016491X</subfield><subfield code="9">3-540-16491-X</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">038716491X</subfield><subfield code="9">0-387-16491-X</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)611700162</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV006110743</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-355</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-29T</subfield><subfield code="a">DE-706</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-188</subfield><subfield code="a">DE-91G</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-12</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-824</subfield><subfield code="a">DE-898</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA3</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">516.3/62</subfield><subfield code="2">19</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">510</subfield><subfield code="2">19</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 850</subfield><subfield code="0">(DE-625)143199:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 537f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">53C42</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Barbosa, João Lucas M.</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Minimal surfaces in IR3</subfield><subfield code="c">J. Lucas M. Barbosa ; A. Gervasio Colares</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">1986</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">X, 124 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">Lecture notes in mathematics</subfield><subfield code="v">1195</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Auch als: Monografias de matemática ; 40</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Immersions (Mathématiques)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Surfaces minimales</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Immersions (Mathematics)</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Minimal surfaces</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Dreidimensionaler Raum</subfield><subfield code="0">(DE-588)4220292-9</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Minimalfläche</subfield><subfield code="0">(DE-588)4127814-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="a">Minimale Oberfläche</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Minimalfläche</subfield><subfield code="0">(DE-588)4127814-8</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">Minimalfläche</subfield><subfield code="0">(DE-588)4127814-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Dreidimensionaler Raum</subfield><subfield code="0">(DE-588)4220292-9</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">Minimale Oberfläche</subfield><subfield code="A">f</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Colares, Antonio Gervasio</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Lecture notes in mathematics</subfield><subfield code="v">1195</subfield><subfield code="w">(DE-604)BV000676446</subfield><subfield code="9">1195</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=003860398&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="q">TUB-www</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-003860398</subfield></datafield></record></collection> |
| genre | Minimale Oberfläche gnd |
| genre_facet | Minimale Oberfläche |
| id | DE-604.BV006110743 |
| illustrated | Illustrated |
| indexdate | 2024-12-03T11:01:05Z |
| institution | BVB |
| isbn | 354016491X 038716491X |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-003860398 |
| oclc_num | 611700162 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-20 DE-29T DE-706 DE-19 DE-BY-UBM DE-188 DE-91G DE-BY-TUM DE-634 DE-83 DE-12 DE-11 DE-824 DE-898 DE-BY-UBR |
| owner_facet | DE-355 DE-BY-UBR DE-20 DE-29T DE-706 DE-19 DE-BY-UBM DE-188 DE-91G DE-BY-TUM DE-634 DE-83 DE-12 DE-11 DE-824 DE-898 DE-BY-UBR |
| physical | X, 124 S. graph. Darst. |
| psigel | TUB-www |
| publishDate | 1986 |
| publishDateSearch | 1986 |
| publishDateSort | 1986 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Barbosa, João Lucas M. Verfasser aut Minimal surfaces in IR3 J. Lucas M. Barbosa ; A. Gervasio Colares Berlin [u.a.] Springer 1986 X, 124 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1195 Auch als: Monografias de matemática ; 40 Immersions (Mathématiques) Surfaces minimales Immersions (Mathematics) Minimal surfaces Dreidimensionaler Raum (DE-588)4220292-9 gnd rswk-swf Minimalfläche (DE-588)4127814-8 gnd rswk-swf Minimale Oberfläche gnd rswk-swf Minimalfläche (DE-588)4127814-8 s DE-604 Dreidimensionaler Raum (DE-588)4220292-9 s Minimale Oberfläche f Colares, Antonio Gervasio Verfasser aut Lecture notes in mathematics 1195 (DE-604)BV000676446 1195 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003860398&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Barbosa, João Lucas M. Colares, Antonio Gervasio Minimal surfaces in IR3 Lecture notes in mathematics Immersions (Mathématiques) Surfaces minimales Immersions (Mathematics) Minimal surfaces Dreidimensionaler Raum (DE-588)4220292-9 gnd Minimalfläche (DE-588)4127814-8 gnd |
| subject_GND | (DE-588)4220292-9 (DE-588)4127814-8 |
| title | Minimal surfaces in IR3 |
| title_auth | Minimal surfaces in IR3 |
| title_exact_search | Minimal surfaces in IR3 |
| title_full | Minimal surfaces in IR3 J. Lucas M. Barbosa ; A. Gervasio Colares |
| title_fullStr | Minimal surfaces in IR3 J. Lucas M. Barbosa ; A. Gervasio Colares |
| title_full_unstemmed | Minimal surfaces in IR3 J. Lucas M. Barbosa ; A. Gervasio Colares |
| title_short | Minimal surfaces in IR3 |
| title_sort | minimal surfaces in ir3 |
| topic | Immersions (Mathématiques) Surfaces minimales Immersions (Mathematics) Minimal surfaces Dreidimensionaler Raum (DE-588)4220292-9 gnd Minimalfläche (DE-588)4127814-8 gnd |
| topic_facet | Immersions (Mathématiques) Surfaces minimales Immersions (Mathematics) Minimal surfaces Dreidimensionaler Raum Minimalfläche Minimale Oberfläche |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003860398&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000676446 |
| work_keys_str_mv | AT barbosajoaolucasm minimalsurfacesinir3 AT colaresantoniogervasio minimalsurfacesinir3 |