Foliations in Cauchy-Riemann geometry:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, R.I.
American Mathematical Society
2007
|
| Schriftenreihe: | Mathematical surveys and monographs
140 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references |
| Beschreibung: | X, 256 S. |
| ISBN: | 9780821843048 0821843044 |
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Datensatz im Suchindex
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|---|---|
| adam_text | MATHEMATICAL SURVEYS AND MONOGRAPHS VOLUME 140 FOLIATIONS IN
CAUCHY-RIEMANN GEOMETRY ELISABETTA BARLETTA SORIN DRAGOMIR KRISHAN L.
DUGGAL AMERICAN MATHEMATICAL SOCIETY CONTENTS PREFACE VII CHAPTER 1.
REVIEW OF FOLIATION THEORY 1 1.1. BASIC NOTIONS 1 1.2. TRANSVERSE
GEOMETRY 8 CHAPTER 2. FOLIATED CR MANIFOLDS 15 2.1. THE NORMAL BUNDLE 23
2.2. FOLIATIONS OF CR MANIFOLDS AND THE FEFFERMAN METRIC 26 2.3.
FOLIATED LORENTZ MANIFOLDS 32 2.4. THE SECOND FUNDAMENTAL FORM 37 2.5.
THE CHARACTERISTIC FORM 43 CHAPTER 3. LEVI FOLIATIONS 47 3.1. EXISTENCE
OF LEVI FOLIATIONS 47 3.2. HOLOMORPHIC EXTENSION OF LEVI FOLIATIONS 48
3.3. PLURIHARMONIC DENNING FUNCTIONS 56 3.4. HOLOMORPHIC DEGENERACY 58
3.5. TWISTOR CR MANIFOLDS 62 3.6. ANALYSIS ON PSEUDOCONVEX DOMAINS 64
CHAPTER 4. LEVI FOLIATIONS OF CR SUBMANIFOLDS IN CP N 73 4.1.
NONEXISTENCE OF SMOOTH LEVI FLAT HYPERSURFACES 73 4.2. LEFSCHETZ TYPE
RESULTS FOR CR SUBMANIFOLDS IN CP N 74 4.3. CR SUBMANIFOLDS OF MAXIMAL
CR DIMENSION 76 CHAPTER 5. TANGENTIALLY CR FOLIATIONS 81 5.1. THE BASIC
CAUCHY-RIEMANN COMPLEX 81 5.2. THE FILTRATION {F R F2- # : R 0} 84
5.3. THE GRAHAM-LEE CONNECTION 87 5.4. BOUNDARY VALUES OF YANG-MILLS
FIELDS 95 5.5. FLOWS 109 5.6. MONGE-AMPERE FOLIATIONS 112 CHAPTER 6.
TRANSVERSALLY CR FOLIATIONS 121 6.1. TRANSVERSALLY CR FOLIATIONS 123
6.2. CR FOLIATIONS BUILT BY SUSPENSION 129 6.3. TRANSVERSE
PSEUDOHERMITIAN GEOMETRY 130 6.4. DEGENERATE CR MANIFOLDS 134 6.5. THE
TRANSVERSE CAUCHY-RIEMANN COMPLEX 137 6.6. CANONICAL TRANSVERSE
CONNECTIONS 142 VI CONTENTS 6.7. THE EMBEDDING PROBLEM 147 CHAPTER 7.
Q-LIE FOLIATIONS 151 7.1. Q-LIE FOLIATIONS AND TRANSVERSE CR STRUCTURES
151 7.2. TRANSVERSE /-STRUCTURES 154 CHAPTER 8. TRANSVERSE BELTRAMI
EQUATIONS 163 8.1. AUTOMORPHISMS OF THE TRANSVERSE CONTACT STRUCTURE 164
8.2. IF-QUASICONFORMAL AUTOMORPHISMS 168 CHAPTER 9. REVIEW OF ORBIFOLD
THEORY 173 9.1. DEFINING FAMILIES 173 9.2. THE LOCAL STRUCTURE OF S 174
9.3. THE MONOMORPHISM TJ 176 9.4. THE SINGULAR LOCUS 179 9.5. VECTOR
BUNDLES OVER ORBIFOLDS 183 9.6. TRANSITION FUNCTIONS 185 9.7. COMPACT
HAUSDORFF FOLIATIONS 186 CHAPTER 10. PSEUDO-DIFFERENTIAL OPERATORS ON
ORBIFOLDS 189 10.1. THE GIRBAU-NICOLAU CONDITION 189 10.2. COMPOSITION
OF PSEUDO-DIFFERENTIAL OPERATORS 193 10.3. ELLIPTIC OPERATORS ON
ORBIFOLDS 193 CHAPTER 11. CAUCHY-RIEMANN ORBIFOLDS 201 11.1. PARABOLIC
GEODESIES 203 11.2. COMPLEX ORBIFOLDS 206 11.3. REAL HYPERSURFACES 214
11.4. CR ORBIFOLDS 215 11.5. A PARAMETRIX FOR DQ 219 APPENDIX A.
HOLOMORPHIC BISECTIONAL CURVATURE 229 APPENDIX B. PARTITION OF UNITY ON
ORBIFOLDS 231 APPENDIX C. PSEUDO-DIFFERENTIAL OPERATORS ON R * 237
BIBLIOGRAPHY 243 INDEX 253
|
| adam_txt |
MATHEMATICAL SURVEYS AND MONOGRAPHS VOLUME 140 FOLIATIONS IN
CAUCHY-RIEMANN GEOMETRY ELISABETTA BARLETTA SORIN DRAGOMIR KRISHAN L.
DUGGAL AMERICAN MATHEMATICAL SOCIETY CONTENTS PREFACE VII CHAPTER 1.
REVIEW OF FOLIATION THEORY 1 1.1. BASIC NOTIONS 1 1.2. TRANSVERSE
GEOMETRY 8 CHAPTER 2. FOLIATED CR MANIFOLDS 15 2.1. THE NORMAL BUNDLE 23
2.2. FOLIATIONS OF CR MANIFOLDS AND THE FEFFERMAN METRIC 26 2.3.
FOLIATED LORENTZ MANIFOLDS 32 2.4. THE SECOND FUNDAMENTAL FORM 37 2.5.
THE CHARACTERISTIC FORM 43 CHAPTER 3. LEVI FOLIATIONS 47 3.1. EXISTENCE
OF LEVI FOLIATIONS 47 3.2. HOLOMORPHIC EXTENSION OF LEVI FOLIATIONS 48
3.3. PLURIHARMONIC DENNING FUNCTIONS 56 3.4. HOLOMORPHIC DEGENERACY 58
3.5. TWISTOR CR MANIFOLDS 62 3.6. ANALYSIS ON PSEUDOCONVEX DOMAINS 64
CHAPTER 4. LEVI FOLIATIONS OF CR SUBMANIFOLDS IN CP N 73 4.1.
NONEXISTENCE OF SMOOTH LEVI FLAT HYPERSURFACES 73 4.2. LEFSCHETZ TYPE
RESULTS FOR CR SUBMANIFOLDS IN CP N 74 4.3. CR SUBMANIFOLDS OF MAXIMAL
CR DIMENSION 76 CHAPTER 5. TANGENTIALLY CR FOLIATIONS 81 5.1. THE BASIC
CAUCHY-RIEMANN COMPLEX 81 5.2. THE FILTRATION {F R F2- # : R 0} 84
5.3. THE GRAHAM-LEE CONNECTION 87 5.4. BOUNDARY VALUES OF YANG-MILLS
FIELDS 95 5.5. FLOWS 109 5.6. MONGE-AMPERE FOLIATIONS 112 CHAPTER 6.
TRANSVERSALLY CR FOLIATIONS 121 6.1. TRANSVERSALLY CR FOLIATIONS 123
6.2. CR FOLIATIONS BUILT BY SUSPENSION 129 6.3. TRANSVERSE
PSEUDOHERMITIAN GEOMETRY 130 6.4. DEGENERATE CR MANIFOLDS 134 6.5. THE
TRANSVERSE CAUCHY-RIEMANN COMPLEX 137 6.6. CANONICAL TRANSVERSE
CONNECTIONS 142 VI CONTENTS 6.7. THE EMBEDDING PROBLEM 147 CHAPTER 7.
Q-LIE FOLIATIONS 151 7.1. Q-LIE FOLIATIONS AND TRANSVERSE CR STRUCTURES
151 7.2. TRANSVERSE /-STRUCTURES 154 CHAPTER 8. TRANSVERSE BELTRAMI
EQUATIONS 163 8.1. AUTOMORPHISMS OF THE TRANSVERSE CONTACT STRUCTURE 164
8.2. IF-QUASICONFORMAL AUTOMORPHISMS 168 CHAPTER 9. REVIEW OF ORBIFOLD
THEORY 173 9.1. DEFINING FAMILIES 173 9.2. THE LOCAL STRUCTURE OF S 174
9.3. THE MONOMORPHISM TJ 176 9.4. THE SINGULAR LOCUS 179 9.5. VECTOR
BUNDLES OVER ORBIFOLDS 183 9.6. TRANSITION FUNCTIONS 185 9.7. COMPACT
HAUSDORFF FOLIATIONS 186 CHAPTER 10. PSEUDO-DIFFERENTIAL OPERATORS ON
ORBIFOLDS 189 10.1. THE GIRBAU-NICOLAU CONDITION 189 10.2. COMPOSITION
OF PSEUDO-DIFFERENTIAL OPERATORS 193 10.3. ELLIPTIC OPERATORS ON
ORBIFOLDS 193 CHAPTER 11. CAUCHY-RIEMANN ORBIFOLDS 201 11.1. PARABOLIC
GEODESIES 203 11.2. COMPLEX ORBIFOLDS 206 11.3. REAL HYPERSURFACES 214
11.4. CR ORBIFOLDS 215 11.5. A PARAMETRIX FOR DQ 219 APPENDIX A.
HOLOMORPHIC BISECTIONAL CURVATURE 229 APPENDIX B. PARTITION OF UNITY ON
ORBIFOLDS 231 APPENDIX C. PSEUDO-DIFFERENTIAL OPERATORS ON R * 237
BIBLIOGRAPHY 243 INDEX 253 |
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| illustrated | Not Illustrated |
| index_date | 2024-07-02T18:55:13Z |
| indexdate | 2024-07-09T21:07:58Z |
| institution | BVB |
| isbn | 9780821843048 0821843044 |
| language | English |
| lccn | 2007060684 |
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| physical | X, 256 S. |
| publishDate | 2007 |
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| publisher | American Mathematical Society |
| record_format | marc |
| series | Mathematical surveys and monographs |
| series2 | Mathematical surveys and monographs |
| spelling | Barletta, Elisabetta 1957- Verfasser (DE-588)140382100 aut Foliations in Cauchy-Riemann geometry Elisabetta Barletta ; Sorin Dragomir ; Krishan L. Duggal Providence, R.I. American Mathematical Society 2007 X, 256 S. txt rdacontent n rdamedia nc rdacarrier Mathematical surveys and monographs 140 Includes bibliographical references Cauchy-Riemann, Équations de Feuilletages (Mathématiques) Folheações larpcal Geometria diferencial (textos avançados) larpcal Topologia diferencial larpcal Foliations (Mathematics) Cauchy-Riemann equations Blätterung (DE-588)4007006-2 gnd rswk-swf Cauchy-Riemannsche Mannigfaltigkeit (DE-588)4147400-4 gnd rswk-swf Differentialgeometrie (DE-588)4012248-7 gnd rswk-swf Blätterung (DE-588)4007006-2 s Cauchy-Riemannsche Mannigfaltigkeit (DE-588)4147400-4 s Differentialgeometrie (DE-588)4012248-7 s DE-604 Dragomir, Sorin 1955- Verfasser (DE-588)140382186 aut Duggal, Krishan L. 1929- Verfasser (DE-588)140382240 aut Erscheint auch als Online-Ausgabe 978-1-4704-1367-5 Mathematical surveys and monographs 140 (DE-604)BV000018014 140 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016137701&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Barletta, Elisabetta 1957- Dragomir, Sorin 1955- Duggal, Krishan L. 1929- Foliations in Cauchy-Riemann geometry Mathematical surveys and monographs Cauchy-Riemann, Équations de Feuilletages (Mathématiques) Folheações larpcal Geometria diferencial (textos avançados) larpcal Topologia diferencial larpcal Foliations (Mathematics) Cauchy-Riemann equations Blätterung (DE-588)4007006-2 gnd Cauchy-Riemannsche Mannigfaltigkeit (DE-588)4147400-4 gnd Differentialgeometrie (DE-588)4012248-7 gnd |
| subject_GND | (DE-588)4007006-2 (DE-588)4147400-4 (DE-588)4012248-7 |
| title | Foliations in Cauchy-Riemann geometry |
| title_auth | Foliations in Cauchy-Riemann geometry |
| title_exact_search | Foliations in Cauchy-Riemann geometry |
| title_exact_search_txtP | Foliations in Cauchy-Riemann geometry |
| title_full | Foliations in Cauchy-Riemann geometry Elisabetta Barletta ; Sorin Dragomir ; Krishan L. Duggal |
| title_fullStr | Foliations in Cauchy-Riemann geometry Elisabetta Barletta ; Sorin Dragomir ; Krishan L. Duggal |
| title_full_unstemmed | Foliations in Cauchy-Riemann geometry Elisabetta Barletta ; Sorin Dragomir ; Krishan L. Duggal |
| title_short | Foliations in Cauchy-Riemann geometry |
| title_sort | foliations in cauchy riemann geometry |
| topic | Cauchy-Riemann, Équations de Feuilletages (Mathématiques) Folheações larpcal Geometria diferencial (textos avançados) larpcal Topologia diferencial larpcal Foliations (Mathematics) Cauchy-Riemann equations Blätterung (DE-588)4007006-2 gnd Cauchy-Riemannsche Mannigfaltigkeit (DE-588)4147400-4 gnd Differentialgeometrie (DE-588)4012248-7 gnd |
| topic_facet | Cauchy-Riemann, Équations de Feuilletages (Mathématiques) Folheações Geometria diferencial (textos avançados) Topologia diferencial Foliations (Mathematics) Cauchy-Riemann equations Blätterung Cauchy-Riemannsche Mannigfaltigkeit Differentialgeometrie |
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