Title: Finsler Metrics - A Global Approach: with Applications to Geometric Function Theory (Lecture Notes in Mathematics, 1591)
Publisher: Springer
Publication Date: 1994
Language: English
ISBN 10: 354058465X
ISBN 13: 9783540584650
Binding: Soft cover
Condition: New

About this title

Synopsis

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, K�hlerianity, geodesics, curvature. Finally global geometry and complex Monge-Amp�re 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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