Finsler Metrics—A Global Approach : with applications to geometric function theory / by Marco Abate, Giorgio Patrizio
(Lecture Notes in Mathematics ; 1591)
| データ種別 | 電子ブック |
|---|---|
| 出版情報 | Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer , 1994 |
| 本文言語 | 英語 |
| 大きさ | IX, 182 p : online resource |
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| 内容注記 | Real Finsler geometry Complex Finsler geometry Manifolds with constant holomorphic curvature |
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| 一般注記 | Complex Finsler metrics appear naturally in complex analysis. To develop new tools in this area, the book provides a graduate-level introduction to differential geometry of complex Finsler metrics. After reviewing real Finsler geometry stressing global results, complex Finsler geometry is presented introducing connections, Kählerianity, geodesics, curvature. Finally global geometry and complex Monge-Ampère equations are discussed for Finsler manifolds with constant holomorphic curvature, which are important in geometric function theory. Following E. Cartan, S.S. Chern and S. Kobayashi, the global approach carries the full strength of hermitian geometry of vector bundles avoiding cumbersome computations, and thus fosters applications in other fields |
| 著者標目 | *Abate, Marco author Patrizio, Giorgio author SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Mathematical analysis LCSH:Analysis (Mathematics) LCSH:Functions of complex variables LCSH:Differential geometry FREE:Mathematics FREE:Functions of a Complex Variable FREE:Analysis FREE:Differential Geometry |
| 分 類 | DC23:515.9 |
| 巻冊次 | ISBN:9783540488125 
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| ISBN | 9783540488125 |
| URL | http://dx.doi.org/10.1007/BFb0073980 |
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