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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Complex analysis
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Finsler Metrics - A Global Approach - with Applications to Geometric Function Theory (Paperback, 1994 ed.)
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Finsler Metrics - A Global Approach - with Applications to Geometric Function Theory (Paperback, 1994 ed.)
Series: Lecture Notes in Mathematics, 1591
Expected to ship within 10 - 15 working days
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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, K
hlerianity, geodesics, curvature. Finally global geometry and
complex Monge-Amp 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.
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