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Finsler metrics-- a global approach : with applications to geometric function theory /

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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...

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Bibliographic Details
Main Author: Abate, Marco, 1962-
Corporate Author: SpringerLink (Online service)
Other Authors: Patrizio, Giorgio
Format: eBook
Language:English
Published: Berlin ; New York : Springer-Verlag, [1994]
Series:Lecture notes in mathematics (Springer-Verlag) ; 1591.
Subjects:
Finsler spaces.
Complex manifolds.
Géométrie FINSLER réelle.
Géométrie Finsler complexe.
Métrique FINSLER.
Connection CHERN-FINSLER.
Courbure holomorphe.
Métrique KOBAYASHI.
Feuilletage MONGE-AMPERE.
Holomorfe functies.
Finsler, Espaces de.
Variétés (mathématiques)
Fonctions, Théorie géométrique des.
Electronic books.
Online Access:Connect to the full text of this electronic book
Description
Summary: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, Khlerianity, geodesics, curvature. Finally global geometry and complex Monge-Ampre 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.
Item Description:Electronic resource.
Physical Description:1 online resource (ix, 180 pages) : illustrations.
Bibliography:Includes bibliographical references (pages [171]-173) and index.
ISBN:9783540488125 (electronic bk.)
354048812X (electronic bk.)
ISSN:0075-8434 ;