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Finsler Metrics - A Global Approach
with Applications to Geometric Function Theory
Paperback
Print on Demand | Lieferzeit: Print on Demand - Lieferbar innerhalb von 3-5 Werktagen I
Artikel-Nr:
9783540584650
Veröffentl:
1994
Einband:
Paperback
Erscheinungsdatum:
26.10.1994
Seiten:
196
Autor:
Giorgio Patrizio
Gewicht:
306 g
Format:
235x155x11 mm
Serie:
1591, Scuola Normale Superiore, Pisa
Sprache:
Englisch
Beschreibung:
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.