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Finsler Metrics - A Global Approach: With Applications to Geometric Function Theory

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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 KAhlerianity geodesics curvature Finally global geometry and complex Monge AmpA re 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

Pages: 182

Format: Paperback

Release: January 01, 2008

Finsler Metrics - A Global Approach: With Applications to Geometric Function Theory

0/5 ( ratings)

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 KAhlerianity geodesics curvature Finally global geometry and complex Monge AmpA re 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

Pages: 182

Format: Paperback

Release: January 01, 2008

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