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140122 ||| eng |
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|a 9783540488125
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|a Abate, Marco
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| 245 |
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|a Finsler Metrics - A Global Approach
|h Elektronische Ressource
|b with Applications to Geometric Function Theory
|c by Marco Abate, Giorgio Patrizio
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| 250 |
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|a 1st ed. 1994
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| 260 |
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|a Berlin, Heidelberg
|b Springer Berlin Heidelberg
|c 1994, 1994
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| 300 |
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|a IX, 182 p
|b online resource
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| 505 |
0 |
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|a Real Finsler geometry -- Complex Finsler geometry -- Manifolds with constant holomorphic curvature
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| 653 |
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|a Geometry, Differential
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| 653 |
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|a Functions of complex variables
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| 653 |
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|a Mathematical analysis
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| 653 |
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|a Analysis
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| 653 |
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|a Functions of a Complex Variable
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| 653 |
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|a Differential Geometry
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| 700 |
1 |
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|a Patrizio, Giorgio
|e [author]
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| 041 |
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7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b SBA
|a Springer Book Archives -2004
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| 490 |
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|a Scuola Normale Superiore, Pisa
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| 028 |
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|a 10.1007/BFb0073980
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| 856 |
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|u https://doi.org/10.1007/BFb0073980?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
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|a 515.9
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| 520 |
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|a 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
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