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Item Details
| Title:
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FINSLER METRICS - A GLOBAL APPROACH
WITH APPLICATIONS TO GEOMETRIC FUNCTION THEORY |
| By: |
Marco Abate, Giorgio Patrizio |
| Format: |
Paperback |
| List price:
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£22.99 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
354058465X |
| ISBN 13: |
9783540584650 |
| Publisher: |
SPRINGER-VERLAG BERLIN AND HEIDELBERG GMBH & CO. KG |
| Pub. date: |
26 October, 1994 |
| Edition: |
1994 ed. |
| Series: |
Lecture Notes in Mathematics / Scuola Normale Superiore, Pisa 1591 |
| Pages: |
182 |
| Description: |
This is a graduate-level introduction to the differential geometry of complex Finsler metrics, phenomena which appear naturally in complex analysis. |
| Synopsis: |
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-Ampere 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. |
| Illustrations: |
biography |
| Publication: |
Germany |
| Imprint: |
Springer-Verlag Berlin and Heidelberg GmbH & Co. K |
| Returns: |
Returnable |
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