---

＜電子ブック＞
Finsler Metrics - A Global Approach : with Applications to Geometric Function Theory / by Marco Abate, Giorgio Patrizio
(Scuola Normale Superiore, Pisa ; 1591)

版	1st ed. 1994.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	1994
大きさ	IX, 182 p : online resource
著者標目	*Abate, Marco author Patrizio, Giorgio author SpringerLink (Online service)
件　名	LCSH:Functions of complex variables LCSH:Mathematical analysis LCSH:Geometry, Differential FREE:Functions of a Complex Variable FREE:Analysis FREE:Differential Geometry
一般注記	Real Finsler geometry -- Complex Finsler geometry -- Manifolds with constant holomorphic curvature 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 HTTP:URL=https://doi.org/10.1007/BFb0073980

 類似資料