Finsler Metrics--a Global Approach: With Applications to Geometric Theory - A. Dold - Paperback

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, KAhlerianity, geodesics, curvature. Finally global geometry and complex Monge-AmpA]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.Abate, Marco is the author of 'Finsler Metrics--a Global Approach: With Applications to Geometric Theory - A. Dold - Paperback' with ISBN 9783540584650 and ISBN 354058465X.