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Finsler Metrics - A Global Approach

with Applications to Geometric Function Theory

Produktform: E-Buch Text Elektronisches Buch in proprietärem

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.weiterlesen

Dieser Artikel gehört zu den folgenden Serien

Elektronisches Format: PDF

Sprache(n): Englisch

ISBN: 978-3-540-48812-5 / 978-3540488125 / 9783540488125

Verlag: Springer Berlin

Erscheinungsdatum: 15.11.2006

Seiten: 182

Autor(en): Marco Abate, Giorgio Patrizio

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