Gromov’s Compactness Theorem for Pseudo-holomorphic Curves:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Abschlussarbeit Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Basel
Birkhäuser Basel
1997
|
| Schriftenreihe: | Progress in Mathematics
151 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Mikhail Gromov introduced pseudo-holomorphic curves into symplectic geometry in 1985. Since then, pseudo-holomorphic curves have taken on great importance in many fields. The aim of this book is to present the original proof of Gromov's compactness theorem for pseudo-holomorphic curves in detail. Local properties of pseudo-holomorphic curves are investigated and proved from a geometric viewpoint. Properties of particular interest are isoperimetric inequalities, a monotonicity formula, gradient bounds and the removal of singularities. A special chapter is devoted to relevant features of hyperbolic surfaces, where pairs of pants decomposition and thickthin decomposition are described. The book is essentially self-contained and should also be accessible to students with a basic knowledge of differentiable manifolds and covering spaces |
| Beschreibung: | 1 Online-Ressource (VIII, 135 p) |
| ISBN: | 9783034889520 9783034898423 |
| DOI: | 10.1007/978-3-0348-8952-0 |
Internformat
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| 500 | |a Mikhail Gromov introduced pseudo-holomorphic curves into symplectic geometry in 1985. Since then, pseudo-holomorphic curves have taken on great importance in many fields. The aim of this book is to present the original proof of Gromov's compactness theorem for pseudo-holomorphic curves in detail. Local properties of pseudo-holomorphic curves are investigated and proved from a geometric viewpoint. Properties of particular interest are isoperimetric inequalities, a monotonicity formula, gradient bounds and the removal of singularities. A special chapter is devoted to relevant features of hyperbolic surfaces, where pairs of pants decomposition and thickthin decomposition are described. The book is essentially self-contained and should also be accessible to students with a basic knowledge of differentiable manifolds and covering spaces | ||
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Datensatz im Suchindex
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| author | Hummel, Christoph |
| author_facet | Hummel, Christoph |
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| dewey-ones | 510 - Mathematics |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-0348-8952-0 |
| format | Thesis Electronic eBook |
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| spelling | Hummel, Christoph Verfasser aut Gromov’s Compactness Theorem for Pseudo-holomorphic Curves by Christoph Hummel Basel Birkhäuser Basel 1997 1 Online-Ressource (VIII, 135 p) txt rdacontent c rdamedia cr rdacarrier Progress in Mathematics 151 Mikhail Gromov introduced pseudo-holomorphic curves into symplectic geometry in 1985. Since then, pseudo-holomorphic curves have taken on great importance in many fields. The aim of this book is to present the original proof of Gromov's compactness theorem for pseudo-holomorphic curves in detail. Local properties of pseudo-holomorphic curves are investigated and proved from a geometric viewpoint. Properties of particular interest are isoperimetric inequalities, a monotonicity formula, gradient bounds and the removal of singularities. A special chapter is devoted to relevant features of hyperbolic surfaces, where pairs of pants decomposition and thickthin decomposition are described. The book is essentially self-contained and should also be accessible to students with a basic knowledge of differentiable manifolds and covering spaces Diplomarbeit Universität Freiburg (Breisgau) 1992 Mathematics Mathematics, general Mathematik Riemannscher Raum (DE-588)4128295-4 gnd rswk-swf Pseudoholomorphe Funktion (DE-588)4176138-8 gnd rswk-swf Kompaktheit (DE-588)4456100-3 gnd rswk-swf Symplektische Mannigfaltigkeit (DE-588)4290704-4 gnd rswk-swf 1\p (DE-588)4113937-9 Hochschulschrift gnd-content Riemannscher Raum (DE-588)4128295-4 s Symplektische Mannigfaltigkeit (DE-588)4290704-4 s Pseudoholomorphe Funktion (DE-588)4176138-8 s Kompaktheit (DE-588)4456100-3 s 2\p DE-604 https://doi.org/10.1007/978-3-0348-8952-0 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Hummel, Christoph Gromov’s Compactness Theorem for Pseudo-holomorphic Curves Mathematics Mathematics, general Mathematik Riemannscher Raum (DE-588)4128295-4 gnd Pseudoholomorphe Funktion (DE-588)4176138-8 gnd Kompaktheit (DE-588)4456100-3 gnd Symplektische Mannigfaltigkeit (DE-588)4290704-4 gnd |
| subject_GND | (DE-588)4128295-4 (DE-588)4176138-8 (DE-588)4456100-3 (DE-588)4290704-4 (DE-588)4113937-9 |
| title | Gromov’s Compactness Theorem for Pseudo-holomorphic Curves |
| title_auth | Gromov’s Compactness Theorem for Pseudo-holomorphic Curves |
| title_exact_search | Gromov’s Compactness Theorem for Pseudo-holomorphic Curves |
| title_full | Gromov’s Compactness Theorem for Pseudo-holomorphic Curves by Christoph Hummel |
| title_fullStr | Gromov’s Compactness Theorem for Pseudo-holomorphic Curves by Christoph Hummel |
| title_full_unstemmed | Gromov’s Compactness Theorem for Pseudo-holomorphic Curves by Christoph Hummel |
| title_short | Gromov’s Compactness Theorem for Pseudo-holomorphic Curves |
| title_sort | gromov s compactness theorem for pseudo holomorphic curves |
| topic | Mathematics Mathematics, general Mathematik Riemannscher Raum (DE-588)4128295-4 gnd Pseudoholomorphe Funktion (DE-588)4176138-8 gnd Kompaktheit (DE-588)4456100-3 gnd Symplektische Mannigfaltigkeit (DE-588)4290704-4 gnd |
| topic_facet | Mathematics Mathematics, general Mathematik Riemannscher Raum Pseudoholomorphe Funktion Kompaktheit Symplektische Mannigfaltigkeit Hochschulschrift |
| url | https://doi.org/10.1007/978-3-0348-8952-0 |
| work_keys_str_mv | AT hummelchristoph gromovscompactnesstheoremforpseudoholomorphiccurves |