Finsler Metrics - A Global Approach
with Applications to Geometric Function Theory
Seiten
1994
Springer Berlin (Verlag)
978-3-540-58465-0 (ISBN)
Springer Berlin (Verlag)
978-3-540-58465-0 (ISBN)
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.
Real Finsler geometry.- Complex Finsler geometry.- Manifolds with constant holomorphic curvature.
| Erscheint lt. Verlag | 26.10.1994 |
|---|---|
| Reihe/Serie | Lecture Notes in Mathematics | Scuola Normale Superiore, Pisa |
| Zusatzinfo | IX, 182 p. |
| Verlagsort | Berlin |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 304 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| Schlagworte | Complex Analysis • complex Finsler metrics • complex geodesics • complex Monge-Ampere equation • Curvature • Differential Geometry • finsler geometry • Finsler metrics • intrinsic metrics • manifold |
| ISBN-10 | 3-540-58465-X / 354058465X |
| ISBN-13 | 978-3-540-58465-0 / 9783540584650 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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