Global analysis on open manifolds:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York, NY
Nova Science Publ.
2007
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 625 - 640 |
| Physical Description: | IX, 644 S. |
| ISBN: | 1600215637 9781600215636 |
Staff View
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| 245 | 1 | 0 | |a Global analysis on open manifolds |c Jürgen Eichhorn |
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Record in the Search Index
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| adam_text | Contents
1 A Setting of Linear Analysis 1
1 Basics of Riemannian Geometry..................... 1
2 Tools from Hubert Space Theory.................... 7
3 Sobolev Spaces on Open Manifolds................... 13
4 Uniform Pseudo-Differential and Fourier Integral
Operators on Open Manifolds...................... 52
2 Spectral Geometry 59
1 Generalities of Spectral Geometry ................... 60
2 Spectral Geometry of the Scalar Laplacian............... 79
3 Spectral Geometry of ç-Forms..................... 118
4 The spectral Value Zero......................... 149
5 The Heat Semigroup and the Heat Kernel............... 171
6 Fredholm Properties and Index Theory................. 207
3 A Setting of Non-Linear Analysis 241
1 Uniform Structures and their Application to Vector Bundles and Con-
formal Factors.............................. 242
2 Spaces of Metrics and Connections and their Geometry....... 249
3 Characteristic Numbers for Open Manifolds and their Applications . 282
4 Uniform Structures of Clifford Bundles................. 316
5 Manifolds of Maps............................ 325
6 Banach Manifolds of Maps in the Lp-Category............ 358
7 The Bounded Diffeomorphism Group .................. 363
8 ILH Diffeomorphism Groups....................... 374
9 The Group of Volume Preserving Diffeomorphisms.......... 377
10 The Groups of Contact Transformations and of Symplectic Diffeo-
morphisms ................................. 398
11 Lie Groups of Fourier Integral Operators on Open Manifolds .... 415
ii Jürgen Eichhorn
4 Some Non-Linear Partial Differential Equations on Open Mani-
folds 439
1 Gauge Theory on Open Manifolds ...................440
2 Fluid Dynamics..............................462
3 Teichmüller Theory............................464
4 A Slice Theorem.............................490
5 A Classification Approach 503
1 Uniform Structures of Metric Spaces.................. 506
2 Functional Algebraic Topology..................... 535
3 Bordism Theory for Open Manifolds.................. 561
6 Dirichlet Series for Open Manifolds 585
1 General Heat Kernel Estimates..................... 586
2 Trace Class Properties.......................... 588
3 Relative Index Theory.......................... 606
4 Relative Zeta-Functions, Eta-Functions,
Determinants and Torsion........................ 614
Bibliography 625
Notation 641
Index 643
|
| adam_txt |
Contents
1 A Setting of Linear Analysis 1
1 Basics of Riemannian Geometry. 1
2 Tools from Hubert Space Theory. 7
3 Sobolev Spaces on Open Manifolds. 13
4 Uniform Pseudo-Differential and Fourier Integral
Operators on Open Manifolds. 52
2 Spectral Geometry 59
1 Generalities of Spectral Geometry . 60
2 Spectral Geometry of the Scalar Laplacian. 79
3 Spectral Geometry of ç-Forms. 118
4 The spectral Value Zero. 149
5 The Heat Semigroup and the Heat Kernel. 171
6 Fredholm Properties and Index Theory. 207
3 A Setting of Non-Linear Analysis 241
1 Uniform Structures and their Application to Vector Bundles and Con-
formal Factors. 242
2 Spaces of Metrics and Connections and their Geometry. 249
3 Characteristic Numbers for Open Manifolds and their Applications . 282
4 Uniform Structures of Clifford Bundles. 316
5 Manifolds of Maps. 325
6 Banach Manifolds of Maps in the Lp-Category. 358
7 The Bounded Diffeomorphism Group . 363
8 ILH Diffeomorphism Groups. 374
9 The Group of Volume Preserving Diffeomorphisms. 377
10 The Groups of Contact Transformations and of Symplectic Diffeo-
morphisms . 398
11 Lie Groups of Fourier Integral Operators on Open Manifolds . 415
ii Jürgen Eichhorn
4 Some Non-Linear Partial Differential Equations on Open Mani-
folds 439
1 Gauge Theory on Open Manifolds .440
2 Fluid Dynamics.462
3 Teichmüller Theory.464
4 A Slice Theorem.490
5 A Classification Approach 503
1 Uniform Structures of Metric Spaces. 506
2 Functional Algebraic Topology. 535
3 Bordism Theory for Open Manifolds. 561
6 Dirichlet Series for Open Manifolds 585
1 General Heat Kernel Estimates. 586
2 Trace Class Properties. 588
3 Relative Index Theory. 606
4 Relative Zeta-Functions, Eta-Functions,
Determinants and Torsion. 614
Bibliography 625
Notation 641
Index 643 |
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| index_date | 2024-07-02T19:03:50Z |
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| institution | BVB |
| isbn | 1600215637 9781600215636 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016163153 |
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| physical | IX, 644 S. |
| publishDate | 2007 |
| publishDateSearch | 2007 |
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| publisher | Nova Science Publ. |
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| spelling | Eichhorn, Jürgen 1942- Verfasser (DE-588)1049961633 aut Global analysis on open manifolds Jürgen Eichhorn New York, NY Nova Science Publ. 2007 IX, 644 S. txt rdacontent n rdamedia nc rdacarrier Literaturverz. S. 625 - 640 Global analysis (Mathematics) Manifolds (Mathematics) Globale Analysis (DE-588)4021285-3 gnd rswk-swf Globale Analysis (DE-588)4021285-3 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016163153&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Eichhorn, Jürgen 1942- Global analysis on open manifolds Global analysis (Mathematics) Manifolds (Mathematics) Globale Analysis (DE-588)4021285-3 gnd |
| subject_GND | (DE-588)4021285-3 |
| title | Global analysis on open manifolds |
| title_auth | Global analysis on open manifolds |
| title_exact_search | Global analysis on open manifolds |
| title_exact_search_txtP | Global analysis on open manifolds |
| title_full | Global analysis on open manifolds Jürgen Eichhorn |
| title_fullStr | Global analysis on open manifolds Jürgen Eichhorn |
| title_full_unstemmed | Global analysis on open manifolds Jürgen Eichhorn |
| title_short | Global analysis on open manifolds |
| title_sort | global analysis on open manifolds |
| topic | Global analysis (Mathematics) Manifolds (Mathematics) Globale Analysis (DE-588)4021285-3 gnd |
| topic_facet | Global analysis (Mathematics) Manifolds (Mathematics) Globale Analysis |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016163153&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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