Finsler Metrics - A Global Approach : with Applications to Geometric Function Theory. 1st ed. 1994
- 種類:
- 電子ブック
- 責任表示:
- by Marco Abate, Giorgio Patrizio
- 出版情報:
- Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1994
- 著者名:
- シリーズ名:
- Scuola Normale Superiore, Pisa ; 1591
- ISBN:
- 9783540488125 [354048812X]
- 注記:
- Real Finsler geometry -- Complex Finsler geometry -- Manifolds with constant holomorphic curvature.
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. - ローカル注記:
- 学内専用E-BOOKS (local access only)
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