Teichmüller Theory in Riemannian Geometry:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Basel
Birkhäuser Basel
1992
|
| Schriftenreihe: | Lectures in Mathematics ETH Zürich, Department of Mathematics Research Institute of Mathematics
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | These lecture notes are based on the joint work of the author and Arthur Fischer on Teichmiiller theory undertaken in the years 1980-1986. Since then many of our colleagues have encouraged us to publish our approach to the subject in a concise format, easily accessible to a broad mathematical audience. However, it was the invitation by the faculty of the ETH Ziirich to deliver the ETH N achdiplom-Vorlesungen on this material which provided the opportunity for the author to develop our research papers into a format suitable for mathematicians with a modest background in differential geometry. We also hoped it would provide the basis for a graduate course stressing the application of fundamental ideas in geometry. For this opportunity the author wishes to thank Eduard Zehnder and Jiirgen Moser, acting director and director of the Forschungsinstitut fiir Mathematik at the ETH, Gisbert Wiistholz, responsible for the Nachdiplom Vorlesungen and the entire ETH faculty for their support and warm hospitality. This new approach to Teichmiiller theory presented here was undertaken for two reasons. First, it was clear that the classical approach, using the theory of extremal quasi-conformal mappings (in this approach we completely avoid the use of quasi-conformal maps) was not easily applicable to the theory of minimal surfaces, a field of interest of the author over many years. Second, many other active mathematicians, who at various times needed some Teichmiiller theory, have found the classical approach inaccessible to them |
| Beschreibung: | 1 Online-Ressource (228p) |
| ISBN: | 9783034886130 9783764327354 |
| DOI: | 10.1007/978-3-0348-8613-0 |
Internformat
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Datensatz im Suchindex
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| discipline | Mathematik |
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| spelling | Tromba, Anthony J. Verfasser aut Teichmüller Theory in Riemannian Geometry by Anthony J. Tromba Basel Birkhäuser Basel 1992 1 Online-Ressource (228p) txt rdacontent c rdamedia cr rdacarrier Lectures in Mathematics ETH Zürich, Department of Mathematics Research Institute of Mathematics These lecture notes are based on the joint work of the author and Arthur Fischer on Teichmiiller theory undertaken in the years 1980-1986. Since then many of our colleagues have encouraged us to publish our approach to the subject in a concise format, easily accessible to a broad mathematical audience. However, it was the invitation by the faculty of the ETH Ziirich to deliver the ETH N achdiplom-Vorlesungen on this material which provided the opportunity for the author to develop our research papers into a format suitable for mathematicians with a modest background in differential geometry. We also hoped it would provide the basis for a graduate course stressing the application of fundamental ideas in geometry. For this opportunity the author wishes to thank Eduard Zehnder and Jiirgen Moser, acting director and director of the Forschungsinstitut fiir Mathematik at the ETH, Gisbert Wiistholz, responsible for the Nachdiplom Vorlesungen and the entire ETH faculty for their support and warm hospitality. This new approach to Teichmiiller theory presented here was undertaken for two reasons. First, it was clear that the classical approach, using the theory of extremal quasi-conformal mappings (in this approach we completely avoid the use of quasi-conformal maps) was not easily applicable to the theory of minimal surfaces, a field of interest of the author over many years. Second, many other active mathematicians, who at various times needed some Teichmiiller theory, have found the classical approach inaccessible to them Mathematics Global analysis Global differential geometry Global Analysis and Analysis on Manifolds Differential Geometry Mathematik Teichmüller-Raum (DE-588)4131425-6 gnd rswk-swf Riemannsche Geometrie (DE-588)4128462-8 gnd rswk-swf Riemannsche Geometrie (DE-588)4128462-8 s Teichmüller-Raum (DE-588)4131425-6 s 1\p DE-604 https://doi.org/10.1007/978-3-0348-8613-0 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Tromba, Anthony J. Teichmüller Theory in Riemannian Geometry Mathematics Global analysis Global differential geometry Global Analysis and Analysis on Manifolds Differential Geometry Mathematik Teichmüller-Raum (DE-588)4131425-6 gnd Riemannsche Geometrie (DE-588)4128462-8 gnd |
| subject_GND | (DE-588)4131425-6 (DE-588)4128462-8 |
| title | Teichmüller Theory in Riemannian Geometry |
| title_auth | Teichmüller Theory in Riemannian Geometry |
| title_exact_search | Teichmüller Theory in Riemannian Geometry |
| title_full | Teichmüller Theory in Riemannian Geometry by Anthony J. Tromba |
| title_fullStr | Teichmüller Theory in Riemannian Geometry by Anthony J. Tromba |
| title_full_unstemmed | Teichmüller Theory in Riemannian Geometry by Anthony J. Tromba |
| title_short | Teichmüller Theory in Riemannian Geometry |
| title_sort | teichmuller theory in riemannian geometry |
| topic | Mathematics Global analysis Global differential geometry Global Analysis and Analysis on Manifolds Differential Geometry Mathematik Teichmüller-Raum (DE-588)4131425-6 gnd Riemannsche Geometrie (DE-588)4128462-8 gnd |
| topic_facet | Mathematics Global analysis Global differential geometry Global Analysis and Analysis on Manifolds Differential Geometry Mathematik Teichmüller-Raum Riemannsche Geometrie |
| url | https://doi.org/10.1007/978-3-0348-8613-0 |
| work_keys_str_mv | AT trombaanthonyj teichmullertheoryinriemanniangeometry |