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Finsler Metrics—A Global Approach: with applications to geometric function theory /

Finsler Metrics—A Global Approach: with applications to geometric function theory /
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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
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