| Dewey Class |
515.9 |
| Titel |
Finsler Metrics—A Global Approach ([EBook] :) : with applications to geometric function theory / / by Marco Abate, Giorgio Patrizio. |
| Verfasser |
Abate, Marco |
| Added Personal Name |
Patrizio, Giorgio author. |
| Other name(s) |
SpringerLink (Online service) |
| Veröffentl |
Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 1994. |
| Physical Details |
IX, 182 p. : online resource. |
| Reihe |
Lecture Notes in Mathematics 0075-8434 ; ; 1591 |
| ISBN |
9783540488125 |
| Summary Note |
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.: |
| Contents note |
Real Finsler geometry -- Complex Finsler geometry -- Manifolds with constant holomorphic curvature. |
| System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users) |
| Internet Site |
http://dx.doi.org/10.1007/BFb0073980 |
| LINKS ZU 'VERWANDTEN WERKEN |
Schlagwörter: .
Analysis .
Analysis (Mathematics) .
Differential Geometry .
Functions of a Complex Variable .
Functions of complex variables .
Mathematical analysis .
Mathematics .
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