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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Finsler Metrics - A Global Approach: With Applications to Geometric Function Theory

Finsler Metrics - A Global Approach: With Applications to Geometric Function Theory

Abate, Marco
Patrizio, Giorgio

Paperback

General MathematicsGeometry

ISBN10: 354058465X
ISBN13: 9783540584650
Publisher: Springer
Published: Oct 26 1994
Pages: 182
Weight: 0.54
Height: 0.43 Width: 6.12 Depth: 9.25
Language: English
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.

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