On the number of simply connected minimal surfaces spanning a curve:
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Providence, RI
1977
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Schriftenreihe: | American Mathematical Society: Memoirs of the American Mathematical Society
194 |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | Volume 12, Issue 2, Number 194 (first of 3 numbers) |
Beschreibung: | V, 121 S. |
ISBN: | 0821821946 |
Internformat
MARC
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100 | 1 | |a Tromba, Anthony J. |d 1943- |e Verfasser |0 (DE-588)142684996 |4 aut | |
245 | 1 | 0 | |a On the number of simply connected minimal surfaces spanning a curve |c A. J. Tromba |
264 | 1 | |a Providence, RI |c 1977 | |
300 | |a V, 121 S. | ||
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 194 | |
500 | |a Volume 12, Issue 2, Number 194 (first of 3 numbers) | ||
650 | 4 | |a Boundary value problems | |
650 | 4 | |a Critical point theory (Mathematical analysis) | |
650 | 4 | |a Minimal surfaces | |
650 | 0 | 7 | |a Kurve |0 (DE-588)4033824-1 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Minimalfläche |0 (DE-588)4127814-8 |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 Kurve |0 (DE-588)4033824-1 |D s |
689 | 1 | 1 | |a Minimalfläche |0 (DE-588)4127814-8 |D s |
689 | 1 | |5 DE-604 | |
830 | 0 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 194 |w (DE-604)BV008000141 |9 194 | |
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Datensatz im Suchindex
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adam_text | TABLE OF CONTENTS
0. Introduction iv
1. A review of the Euler characteristic of a Palais Smale vector field 1
II. Analytical preliminaries the Sobelev spaces 7
III. The global formulation of the problem of Plateau 10
IV. The existence of a vector field associated to the Dirichlet
functional E 16
V. A proof that the vector field X , associated to E , is Palais Smale 26
VI. The weak Riemannian structure on si 36
VII. The equivariance of X under the action of the conformal group 38
VIII.The regularity results for minimal surfaces 59
IX. The Frechet derivative of the minimal surface vector field X and
the surface fibre bundle 51
X. The minimal surface vector field X is proper on bounded sets 59
XI. Non degenerate critical submanifolds of ^ and a uniqueness theorem
for minimal surfaces 66
XII. The spray of the weak metric 79
XIII.The transversality theorem 91
XIV. The Morse number of minimal surfaces spanning a simple closed
curve and its invariance under isotopy 111
XV. References 118
|
any_adam_object | 1 |
author | Tromba, Anthony J. 1943- |
author_GND | (DE-588)142684996 |
author_facet | Tromba, Anthony J. 1943- |
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author_sort | Tromba, Anthony J. 1943- |
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building | Verbundindex |
bvnumber | BV003617024 |
callnumber-first | Q - Science |
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callnumber-raw | QA3 |
callnumber-search | QA3 |
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callnumber-subject | QA - Mathematics |
ctrlnum | (OCoLC)3240607 (DE-599)BVBBV003617024 |
dewey-full | 516/.362 510/.8 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 516 - Geometry 510 - Mathematics |
dewey-raw | 516/.362 510/.8 |
dewey-search | 516/.362 510/.8 |
dewey-sort | 3516 3362 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Book |
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id | DE-604.BV003617024 |
illustrated | Not Illustrated |
indexdate | 2024-07-09T16:02:49Z |
institution | BVB |
isbn | 0821821946 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002303728 |
oclc_num | 3240607 |
open_access_boolean | |
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physical | V, 121 S. |
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publishDate | 1977 |
publishDateSearch | 1977 |
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series | American Mathematical Society: Memoirs of the American Mathematical Society |
series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
spelling | Tromba, Anthony J. 1943- Verfasser (DE-588)142684996 aut On the number of simply connected minimal surfaces spanning a curve A. J. Tromba Providence, RI 1977 V, 121 S. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 194 Volume 12, Issue 2, Number 194 (first of 3 numbers) Boundary value problems Critical point theory (Mathematical analysis) Minimal surfaces Kurve (DE-588)4033824-1 gnd rswk-swf Minimalfläche (DE-588)4127814-8 gnd rswk-swf Minimalfläche (DE-588)4127814-8 s DE-604 Kurve (DE-588)4033824-1 s American Mathematical Society: Memoirs of the American Mathematical Society 194 (DE-604)BV008000141 194 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002303728&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Tromba, Anthony J. 1943- On the number of simply connected minimal surfaces spanning a curve American Mathematical Society: Memoirs of the American Mathematical Society Boundary value problems Critical point theory (Mathematical analysis) Minimal surfaces Kurve (DE-588)4033824-1 gnd Minimalfläche (DE-588)4127814-8 gnd |
subject_GND | (DE-588)4033824-1 (DE-588)4127814-8 |
title | On the number of simply connected minimal surfaces spanning a curve |
title_auth | On the number of simply connected minimal surfaces spanning a curve |
title_exact_search | On the number of simply connected minimal surfaces spanning a curve |
title_full | On the number of simply connected minimal surfaces spanning a curve A. J. Tromba |
title_fullStr | On the number of simply connected minimal surfaces spanning a curve A. J. Tromba |
title_full_unstemmed | On the number of simply connected minimal surfaces spanning a curve A. J. Tromba |
title_short | On the number of simply connected minimal surfaces spanning a curve |
title_sort | on the number of simply connected minimal surfaces spanning a curve |
topic | Boundary value problems Critical point theory (Mathematical analysis) Minimal surfaces Kurve (DE-588)4033824-1 gnd Minimalfläche (DE-588)4127814-8 gnd |
topic_facet | Boundary value problems Critical point theory (Mathematical analysis) Minimal surfaces Kurve Minimalfläche |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002303728&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV008000141 |
work_keys_str_mv | AT trombaanthonyj onthenumberofsimplyconnectedminimalsurfacesspanningacurve |