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

Giorgio Patrizio

ISBN 10: 354058465X / ISBN 13: 9783540584650

Verlag: Springer Berlin Heidelberg, 1994

Beschreibung

Druck auf Anfrage Neuware - Printed after ordering - 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.

Bestandsnummer des Verkäufers 9783540584650

Bibliografische Details

• Titel: Finsler Metrics - A Global Approach : with Applications to Geometric Function Theory
• Verlag: Springer Berlin Heidelberg
• Erscheinungsjahr: 1994
• Sprache: Englisch
• ISBN-10: 354058465X
• ISBN-13: 9783540584650
• Einband: Taschenbuch
• Zustand: Neu

Über diesen Titel

Inhaltsangabe

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.