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- Author: Marco Abate
- Publisher: Springer
- Year: 1994
- Pages: 182
- ISBN-10: 354058465X
- ISBN-13: 9783540584650
- Format: 15.5 x 23.5 x 1.1 cm, minkšti viršeliai
- Language: English
- SAVE -10% with code: EXTRA
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Description
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.
EXTRA 10 % discount with code: EXTRA
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- Author: Marco Abate
- Publisher: Springer
- Year: 1994
- Pages: 182
- ISBN-10: 354058465X
- ISBN-13: 9783540584650
- Format: 15.5 x 23.5 x 1.1 cm, minkšti viršeliai
- Language: English English
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.
Reviews