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

By Marco Abate , Giorgio Patrizio

Book information

Publisher
Springer-Verlag
Year
1994
ISBN
9783540584650, 3-540-58465-X
LCC
QA3 .L28 no. 1591,QA689 .L28 no. 1591
Open Library ID
OL1109607M
Language
english
Format
PDF
Filesize
6 MB (6355467 bytes)
Series
Lecture notes in mathematics 1591
Edition
1
Pages
186\186
Topic
Mathematics\\Geometry and Topology
Library
mexmat
Time added
2009-07-20 03:45:11
Математика;Топология;Дифференциальная геометрия и

Description

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.

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