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Finsler Metrics - A Global Approach: with Applications to Geometric Function Theory (Lecture Notes in Mathematics Book 1591)

Finsler Metrics - A Global Approach: with Applications to Geometric Function Theory (Lecture Notes in Mathematics Book 1591)

Marco Abate
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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 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.
Language
English
Format
Kindle Edition
Release
November 15, 2006

Finsler Metrics - A Global Approach: with Applications to Geometric Function Theory (Lecture Notes in Mathematics Book 1591)

Marco Abate
0/5 ( ratings)
Read Download
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.
Language
English
Format
Kindle Edition
Release
November 15, 2006

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