ENGLISH

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

By Marco Abate , Giorgio Patrizio (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1994
ISBN
978-3-540-58465-0, 978-3-540-48812-5
DOI
10.1007/BFb0073980
Language
english
Format
PDF
Filesize
2 MB (2485937 bytes)
Series
Lecture Notes in Mathematics 1591
Edition
1
Pages
182\184
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Analysis; Differential Geometry

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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