Lectures on geometric variational problems:
Gespeichert in:
| Format: | Buch |
|---|---|
| Sprache: | German |
| Veröffentlicht: |
Tokyo [u.a.]
Springer
1996
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturangaben |
| Beschreibung: | VIII, 154 S. graph. Darst. |
| ISBN: | 4431701524 |
Internformat
MARC
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| 245 | 1 | 0 | |a Lectures on geometric variational problems |c S. Nishikawa ... (eds.) |
| 246 | 1 | 3 | |a Geometric variational problems |
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Datensatz im Suchindex
| _version_ | 1804125174451142656 |
|---|---|
| adam_text | Table of Contents
An Introduction to Geometric Variational Problems)
(J.P. Bourguignon) 1
Chapter I The General Setting 2
1. A General Framework 2
2. A Rough Classification of Geometric Variational Problems . . 4
3. Different Points of View on Geometric Variational Problems
and Their Uses 5
Chapter II A Review of Geometric Variational Problems 10
1 The Eigenvalue Problem for the Laplacian on Functions ... 10
2. Harmonic Forms 12
3. Length and Energy of Curves 13
4. The Energy of Maps 15
5. Minimal Submanifolds 18
6. Yang Mills Fields 21
7. The Total Scalar Curvature Functional 24
8. Some Other Non Local Functional of Riemannian Metrics . . 27
Chapter III Symmetry Considerations, Topological Constraints, and
Interactions with Physics 30
1. Symmetry Considerations 30
2. Topological Constraints 31
3. Interactions with Physics 32
Geometry of Gauge Fields (K. Fukaya) 43
§1 Donaldson Invariant of 4 Manifolds 44
VIII Table of Contents
§2 Basic Properties of the Moduli Space of ASD Connections 52
§3 Casson Invariant and Gauge Theory 64
§4 Floer Homology 68
§5 Donaldson Invariant as Topological Field Theory 77
§6 Gauge Theory on 4 Manifolds with Product End 85
§7 Equivariant Floer Theory, Higher Boundary and Degeneration at
Infinity 98
Theorems on the Regularity and Singularity of Minimal Surfaces
and Harmonic Maps (Leon Simon) 115
Introduction 115
LECTURE 1 Basic Definitions, and the c Regularity and Compactness
Theorems 115
1 Basic Definitions and the c Regularity and Compactness The¬
orems 115
2 The c Regularity and Compactness Theorems 119
LECTURE 2 Tangent Maps and Affine Approximation of Subsets of R .126
1 Tangent Maps 126
2 Properties of Homogeneous Degree Zero Minimizers 127
3 Approximation of Subsets of Rn by Affine Subspaces 128
4 Further Properties of sing u 130
5 Homogeneous Degree Zero p with dimS( ?) = n — 3 132
LECTURE 3 Asymptotics on Approach to Singular Points 133
1 Significance of Unique Asymptotic Limits 133
2 Lojasiewicz Inequalities for the Energy 134
3 Proof of Theorem 1 of §1 136
LECTURE 4 Recent Results on Rectifiability and Smoothness Proper¬
ties of sing u 142
1 Statement of Main Theorems 142
2 Brief Discussion of Techniques 144
Index 150
|
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| illustrated | Illustrated |
| indexdate | 2024-07-09T17:57:22Z |
| institution | BVB |
| isbn | 4431701524 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007139968 |
| oclc_num | 34989613 |
| open_access_boolean | |
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| physical | VIII, 154 S. graph. Darst. |
| publishDate | 1996 |
| publishDateSearch | 1996 |
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| publisher | Springer |
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| spelling | Lectures on geometric variational problems S. Nishikawa ... (eds.) Geometric variational problems Tokyo [u.a.] Springer 1996 VIII, 154 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Literaturangaben Analyse globale (Mathématiques) - Congrès ram Géométrie - Congrès ram Geometry Congresses Global analysis (Mathematics) Congresses Nichtlineares Variationsproblem (DE-588)4234622-8 gnd rswk-swf Geometrie (DE-588)4020236-7 gnd rswk-swf Globale Analysis (DE-588)4021285-3 gnd rswk-swf (DE-588)1071861417 Konferenzschrift gnd-content Geometrie (DE-588)4020236-7 s Globale Analysis (DE-588)4021285-3 s Nichtlineares Variationsproblem (DE-588)4234622-8 s DE-604 Nishikawa, Seiki Sonstige oth HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007139968&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lectures on geometric variational problems Analyse globale (Mathématiques) - Congrès ram Géométrie - Congrès ram Geometry Congresses Global analysis (Mathematics) Congresses Nichtlineares Variationsproblem (DE-588)4234622-8 gnd Geometrie (DE-588)4020236-7 gnd Globale Analysis (DE-588)4021285-3 gnd |
| subject_GND | (DE-588)4234622-8 (DE-588)4020236-7 (DE-588)4021285-3 (DE-588)1071861417 |
| title | Lectures on geometric variational problems |
| title_alt | Geometric variational problems |
| title_auth | Lectures on geometric variational problems |
| title_exact_search | Lectures on geometric variational problems |
| title_full | Lectures on geometric variational problems S. Nishikawa ... (eds.) |
| title_fullStr | Lectures on geometric variational problems S. Nishikawa ... (eds.) |
| title_full_unstemmed | Lectures on geometric variational problems S. Nishikawa ... (eds.) |
| title_short | Lectures on geometric variational problems |
| title_sort | lectures on geometric variational problems |
| topic | Analyse globale (Mathématiques) - Congrès ram Géométrie - Congrès ram Geometry Congresses Global analysis (Mathematics) Congresses Nichtlineares Variationsproblem (DE-588)4234622-8 gnd Geometrie (DE-588)4020236-7 gnd Globale Analysis (DE-588)4021285-3 gnd |
| topic_facet | Analyse globale (Mathématiques) - Congrès Géométrie - Congrès Geometry Congresses Global analysis (Mathematics) Congresses Nichtlineares Variationsproblem Geometrie Globale Analysis Konferenzschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007139968&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT nishikawaseiki lecturesongeometricvariationalproblems AT nishikawaseiki geometricvariationalproblems |