Conformal Geometry: A Publication of the Max-Planck-Institut für Mathematik, Bonn
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | German |
| Veröffentlicht: |
Wiesbaden
Vieweg+Teubner Verlag
1988
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| Schriftenreihe: | Aspects of Mathematics / Aspekte der Mathematik
12 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The contributions in this volume summarize parts of a seminar on conformal geometry which was held at the Max-Planck-Institut fur Mathematik in Bonn during the academic year 1985/86. The intention of this seminar was to study conformal structures on mani folds from various viewpoints. The motivation to publish seminar notes grew out of the fact that in spite of the basic importance of this field to many topics of current interest (low-dimensional topology, analysis on manifolds . . . ) there seems to be no coherent introduction to conformal geometry in the literature. We have tried to make the material presented in this book self-contained, so it should be accessible to students with some background in differential geometry. Moreover, we hope that it will be useful as a reference and as a source of inspiration for further research. Ravi Kulkarni/Ulrich Pinkall Conformal Structures and Mobius Structures Ravi S. Kulkarni* Contents § 0 Introduction 2 § 1 Conformal Structures 4 § 2 Conformal Change of a Metric, Mobius Structures 8 § 3 Liouville's Theorem 12 n §4 The GroupsM(n) andM(E ) 13 § 5 Connection with Hyperbol ic Geometry 16 § 6 Constructions of Mobius Manifolds 21 § 7 Development and Holonomy 31 § 8 Ideal Boundary, Classification of Mobius Structures 35 * Partially supported by the Max-Planck-Institut fur Mathematik, Bonn, and an NSF grant. 2 §O Introduction (0. 1) Historically, the stereographic projection and the Mercator projection must have appeared to mathematicians very startling |
| Beschreibung: | 1 Online-Ressource (VII, 240 S.) |
| ISBN: | 9783322906168 9783528089825 |
| ISSN: | 0179-2156 |
| DOI: | 10.1007/978-3-322-90616-8 |
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Datensatz im Suchindex
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|---|---|
| any_adam_object | |
| author | Kulkarni, Ravi S. |
| author_facet | Kulkarni, Ravi S. |
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| author_sort | Kulkarni, Ravi S. |
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| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Allgemeine Naturwissenschaft Mathematik |
| doi_str_mv | 10.1007/978-3-322-90616-8 |
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| issn | 0179-2156 |
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| spelling | Kulkarni, Ravi S. Verfasser aut Conformal Geometry A Publication of the Max-Planck-Institut für Mathematik, Bonn herausgegeben von Ravi S. Kulkarni, Ulrich Pinkall Wiesbaden Vieweg+Teubner Verlag 1988 1 Online-Ressource (VII, 240 S.) txt rdacontent c rdamedia cr rdacarrier Aspects of Mathematics / Aspekte der Mathematik 12 0179-2156 The contributions in this volume summarize parts of a seminar on conformal geometry which was held at the Max-Planck-Institut fur Mathematik in Bonn during the academic year 1985/86. The intention of this seminar was to study conformal structures on mani folds from various viewpoints. The motivation to publish seminar notes grew out of the fact that in spite of the basic importance of this field to many topics of current interest (low-dimensional topology, analysis on manifolds . . . ) there seems to be no coherent introduction to conformal geometry in the literature. We have tried to make the material presented in this book self-contained, so it should be accessible to students with some background in differential geometry. Moreover, we hope that it will be useful as a reference and as a source of inspiration for further research. Ravi Kulkarni/Ulrich Pinkall Conformal Structures and Mobius Structures Ravi S. Kulkarni* Contents § 0 Introduction 2 § 1 Conformal Structures 4 § 2 Conformal Change of a Metric, Mobius Structures 8 § 3 Liouville's Theorem 12 n §4 The GroupsM(n) andM(E ) 13 § 5 Connection with Hyperbol ic Geometry 16 § 6 Constructions of Mobius Manifolds 21 § 7 Development and Holonomy 31 § 8 Ideal Boundary, Classification of Mobius Structures 35 * Partially supported by the Max-Planck-Institut fur Mathematik, Bonn, and an NSF grant. 2 §O Introduction (0. 1) Historically, the stereographic projection and the Mercator projection must have appeared to mathematicians very startling Mathematics Mathematics, general Mathematik Konforme Differentialgeometrie (DE-588)4206468-5 gnd rswk-swf Konforme Abbildung (DE-588)4164968-0 gnd rswk-swf Ähnlichkeitsgeometrie (DE-588)4205668-8 gnd rswk-swf Mannigfaltigkeit (DE-588)4037379-4 gnd rswk-swf 1\p (DE-588)4143413-4 Aufsatzsammlung gnd-content Konforme Abbildung (DE-588)4164968-0 s Mannigfaltigkeit (DE-588)4037379-4 s 2\p DE-604 Konforme Differentialgeometrie (DE-588)4206468-5 s 3\p DE-604 Ähnlichkeitsgeometrie (DE-588)4205668-8 s 4\p DE-604 Pinkall, Ulrich Sonstige oth https://doi.org/10.1007/978-3-322-90616-8 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 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Kulkarni, Ravi S. Conformal Geometry A Publication of the Max-Planck-Institut für Mathematik, Bonn Mathematics Mathematics, general Mathematik Konforme Differentialgeometrie (DE-588)4206468-5 gnd Konforme Abbildung (DE-588)4164968-0 gnd Ähnlichkeitsgeometrie (DE-588)4205668-8 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd |
| subject_GND | (DE-588)4206468-5 (DE-588)4164968-0 (DE-588)4205668-8 (DE-588)4037379-4 (DE-588)4143413-4 |
| title | Conformal Geometry A Publication of the Max-Planck-Institut für Mathematik, Bonn |
| title_auth | Conformal Geometry A Publication of the Max-Planck-Institut für Mathematik, Bonn |
| title_exact_search | Conformal Geometry A Publication of the Max-Planck-Institut für Mathematik, Bonn |
| title_full | Conformal Geometry A Publication of the Max-Planck-Institut für Mathematik, Bonn herausgegeben von Ravi S. Kulkarni, Ulrich Pinkall |
| title_fullStr | Conformal Geometry A Publication of the Max-Planck-Institut für Mathematik, Bonn herausgegeben von Ravi S. Kulkarni, Ulrich Pinkall |
| title_full_unstemmed | Conformal Geometry A Publication of the Max-Planck-Institut für Mathematik, Bonn herausgegeben von Ravi S. Kulkarni, Ulrich Pinkall |
| title_short | Conformal Geometry |
| title_sort | conformal geometry a publication of the max planck institut fur mathematik bonn |
| title_sub | A Publication of the Max-Planck-Institut für Mathematik, Bonn |
| topic | Mathematics Mathematics, general Mathematik Konforme Differentialgeometrie (DE-588)4206468-5 gnd Konforme Abbildung (DE-588)4164968-0 gnd Ähnlichkeitsgeometrie (DE-588)4205668-8 gnd Mannigfaltigkeit (DE-588)4037379-4 gnd |
| topic_facet | Mathematics Mathematics, general Mathematik Konforme Differentialgeometrie Konforme Abbildung Ähnlichkeitsgeometrie Mannigfaltigkeit Aufsatzsammlung |
| url | https://doi.org/10.1007/978-3-322-90616-8 |
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