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Finsler Metrics—A Global Approach: with applications to geometric function theory /
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Catalogue Information
Field name
Details
Dewey Class
515.9
Title
Finsler Metrics—A Global Approach ([EBook] :) : with applications to geometric function theory / / by Marco Abate, Giorgio Patrizio.
Author
Abate, Marco
Added Personal Name
Patrizio, Giorgio
author.
Other name(s)
SpringerLink (Online service)
Publication
Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 1994.
Physical Details
IX, 182 p. : online resource.
Series
Lecture Notes in Mathematics
0075-8434 ; ; 1591
ISBN
9783540488125
Summary Note
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.:
Contents note
Real Finsler geometry -- Complex Finsler geometry -- Manifolds with constant holomorphic curvature.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/BFb0073980
Links to Related Works
Subject References:
Analysis
.
Analysis (Mathematics)
.
Differential Geometry
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Functions of a Complex Variable
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Functions of complex variables
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Mathematical analysis
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Mathematics
.
Authors:
Abate, Marco
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Patrizio, Giorgio
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Corporate Authors:
SpringerLink (Online service)
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Series:
Lecture Notes in Mathematics
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Classification:
515.9
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