| Finsler Metrics - A Global Approach: With Applications to Geometric Function Theory 1994 Edition Contributor(s): Abate, Marco (Author), Patrizio, Giorgio (Author) |
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ISBN: 354058465X ISBN-13: 9783540584650 Publisher: Springer OUR PRICE: $37.95 Product Type: Paperback - Other Formats Published: October 1994 Annotation: 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, KAhlerianity, geodesics, curvature. Finally global geometry and complex Monge-AmpA]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. |
| Additional Information |
| BISAC Categories: - Mathematics | Geometry - Analytic - Mathematics | Mathematical Analysis - Mathematics | Geometry - Differential |
| Dewey: 516.375 |
| LCCN: 94035003 |
| Series: Lecture Notes in Mathematics |
| Physical Information: 0.43" H x 6.12" W x 9.25" (0.54 lbs) 182 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. |