An Introduction to Teichmüller Spaces:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Tokyo
Springer Japan
1992
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This is the English translation of our introductory book on Teichmiiller space written in Japanese. We have taken advantage of the opportunity afforded by this translation to correct some minor errors in the original text, and to include several new related topics as additional sections or subsections. Among other things, we add the construction of Thurston's compactification of the Teichmiiller space in §4 of Chapter 3, and the Thurston and Bers theory on the classification of Teichmiiller modular transformations in §5 of Chapter 6. We also include a sketch of the proof of celebrated theorems of Royden (§4 of Chapter 6), connection between Teichmiiller theory and deformation theory of the complex structures of Riemann surfaces due to Kodaira and Spencer (§2.4 of Chapter 7), and a derivation of negativity of curvatures of the Teichmiiller space with respect to the Weil-Petersson metric (§3.4 of Chapter 7). Further, we indicate how to verify that the compactified moduli space of a compact Riemann surface, constructed in Appendix B, is actually compact. We include several new references chiefly related to added parts. Other than these, the main body of the text is unchanged. Professors Tadashi Kuroda and Kotaro Oikawa kindly read the manuscript of the English edition and gave much valuable advice. We also record our gratitude to all friends and colleagues, especially Sadayoshi Kojima, Makoto Masumoto, Toshiyuki Sugawa, and Harumi Tanigawa, who rendered us much help by reading various parts of the manuscript |
| Beschreibung: | 1 Online-Ressource (XIII, 279p. 43 illus) |
| ISBN: | 9784431681748 9784431681762 |
| DOI: | 10.1007/978-4-431-68174-8 |
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| 500 | |a This is the English translation of our introductory book on Teichmiiller space written in Japanese. We have taken advantage of the opportunity afforded by this translation to correct some minor errors in the original text, and to include several new related topics as additional sections or subsections. Among other things, we add the construction of Thurston's compactification of the Teichmiiller space in §4 of Chapter 3, and the Thurston and Bers theory on the classification of Teichmiiller modular transformations in §5 of Chapter 6. We also include a sketch of the proof of celebrated theorems of Royden (§4 of Chapter 6), connection between Teichmiiller theory and deformation theory of the complex structures of Riemann surfaces due to Kodaira and Spencer (§2.4 of Chapter 7), and a derivation of negativity of curvatures of the Teichmiiller space with respect to the Weil-Petersson metric (§3.4 of Chapter 7). Further, we indicate how to verify that the compactified moduli space of a compact Riemann surface, constructed in Appendix B, is actually compact. We include several new references chiefly related to added parts. Other than these, the main body of the text is unchanged. Professors Tadashi Kuroda and Kotaro Oikawa kindly read the manuscript of the English edition and gave much valuable advice. We also record our gratitude to all friends and colleagues, especially Sadayoshi Kojima, Makoto Masumoto, Toshiyuki Sugawa, and Harumi Tanigawa, who rendered us much help by reading various parts of the manuscript | ||
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Datensatz im Suchindex
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| author | Imayoshi, Yoichi |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515 |
| dewey-search | 515 |
| dewey-sort | 3515 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-4-431-68174-8 |
| format | Electronic eBook |
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| indexdate | 2024-07-10T01:21:13Z |
| institution | BVB |
| isbn | 9784431681748 9784431681762 |
| language | English |
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| spelling | Imayoshi, Yoichi Verfasser aut An Introduction to Teichmüller Spaces by Yoichi Imayoshi, Masahiko Taniguchi Tokyo Springer Japan 1992 1 Online-Ressource (XIII, 279p. 43 illus) txt rdacontent c rdamedia cr rdacarrier This is the English translation of our introductory book on Teichmiiller space written in Japanese. We have taken advantage of the opportunity afforded by this translation to correct some minor errors in the original text, and to include several new related topics as additional sections or subsections. Among other things, we add the construction of Thurston's compactification of the Teichmiiller space in §4 of Chapter 3, and the Thurston and Bers theory on the classification of Teichmiiller modular transformations in §5 of Chapter 6. We also include a sketch of the proof of celebrated theorems of Royden (§4 of Chapter 6), connection between Teichmiiller theory and deformation theory of the complex structures of Riemann surfaces due to Kodaira and Spencer (§2.4 of Chapter 7), and a derivation of negativity of curvatures of the Teichmiiller space with respect to the Weil-Petersson metric (§3.4 of Chapter 7). Further, we indicate how to verify that the compactified moduli space of a compact Riemann surface, constructed in Appendix B, is actually compact. We include several new references chiefly related to added parts. Other than these, the main body of the text is unchanged. Professors Tadashi Kuroda and Kotaro Oikawa kindly read the manuscript of the English edition and gave much valuable advice. We also record our gratitude to all friends and colleagues, especially Sadayoshi Kojima, Makoto Masumoto, Toshiyuki Sugawa, and Harumi Tanigawa, who rendered us much help by reading various parts of the manuscript Mathematics Geometry, algebraic Global analysis (Mathematics) Global differential geometry Analysis Algebraic Geometry Differential Geometry Theoretical, Mathematical and Computational Physics Mathematik Teichmüller-Raum (DE-588)4131425-6 gnd rswk-swf Teichmüller-Raum (DE-588)4131425-6 s 1\p DE-604 Taniguchi, Masahiko Sonstige oth https://doi.org/10.1007/978-4-431-68174-8 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Imayoshi, Yoichi An Introduction to Teichmüller Spaces Mathematics Geometry, algebraic Global analysis (Mathematics) Global differential geometry Analysis Algebraic Geometry Differential Geometry Theoretical, Mathematical and Computational Physics Mathematik Teichmüller-Raum (DE-588)4131425-6 gnd |
| subject_GND | (DE-588)4131425-6 |
| title | An Introduction to Teichmüller Spaces |
| title_auth | An Introduction to Teichmüller Spaces |
| title_exact_search | An Introduction to Teichmüller Spaces |
| title_full | An Introduction to Teichmüller Spaces by Yoichi Imayoshi, Masahiko Taniguchi |
| title_fullStr | An Introduction to Teichmüller Spaces by Yoichi Imayoshi, Masahiko Taniguchi |
| title_full_unstemmed | An Introduction to Teichmüller Spaces by Yoichi Imayoshi, Masahiko Taniguchi |
| title_short | An Introduction to Teichmüller Spaces |
| title_sort | an introduction to teichmuller spaces |
| topic | Mathematics Geometry, algebraic Global analysis (Mathematics) Global differential geometry Analysis Algebraic Geometry Differential Geometry Theoretical, Mathematical and Computational Physics Mathematik Teichmüller-Raum (DE-588)4131425-6 gnd |
| topic_facet | Mathematics Geometry, algebraic Global analysis (Mathematics) Global differential geometry Analysis Algebraic Geometry Differential Geometry Theoretical, Mathematical and Computational Physics Mathematik Teichmüller-Raum |
| url | https://doi.org/10.1007/978-4-431-68174-8 |
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