Finsler Metrics - A Global Approach : with Applications to Geometric Function Theory

Giorgio Patrizio, Marco Abate

ISBN 10: 354058465X / ISBN 13: 9783540584650

Published by Springer Berlin Heidelberg, 1994

About this Item

Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher.

Seller Inventory # 66406/202

Bibliographic Details

• Title: Finsler Metrics - A Global Approach : with Applications to Geometric Function Theory
• Publisher: Springer Berlin Heidelberg
• Publication Date: 1994
• Language: English
• ISBN 10: 354058465X
• ISBN 13: 9783540584650
• Binding: Soft cover
• Condition: Sehr gut
• Seller catalogs:
  • Bücher

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, 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.