Finsler Metrics - A Global Approach : with Applications to Geometric Function Theory PDF
by Marco Abate, Giorgio Patrizio
Part of the Lecture Notes in Mathematics series
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, Kahlerianity, geodesics, curvature.
Finally global geometry and complex Monge-Ampere 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.
Information
-
Download - Immediately Available
- Format:PDF
- Publisher:Springer Berlin Heidelberg
- Publication Date:15/11/2006
- Category:
- ISBN:9783540488125
Information
-
Download - Immediately Available
- Format:PDF
- Publisher:Springer Berlin Heidelberg
- Publication Date:15/11/2006
- Category:
- ISBN:9783540488125
