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Finsler Metrics - A Global Approach
Marco AbateGiorgio Patrizio
其他書名
with Applications to Geometric Function Theory
出版Springer, 2006-11-15
主題Mathematics / Mathematical AnalysisMathematics / Geometry / DifferentialMathematics / Complex AnalysisMathematics / Calculus
ISBN354048812X9783540488125
URLhttp://books.google.com.hk/books?id=jJ98CwAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋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.