Finsler Metrics - A Global Approach - with Applications to Geometric Function Theory

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.

Sommario

Real Finsler geometry.- Complex Finsler geometry.- Manifolds with constant holomorphic curvature.

Dettagli sul prodotto

• Autori: Marc Abate, Marco Abate, Giorgio Patrizio
• Editore: Springer, Berlin
• Lingue: Inglese, Tedesco
• Formato: Tascabile
• Pubblicazione: 01.01.1994
• EAN: 9783540584650
• ISBN: 978-3-540-58465-0
• Pagine: 196
• Dimensioni: 155 mm x 235 mm x 10 mm
• Peso: 304 g
• Serie: Lecture Notes in Mathematics; Lecture Notes in Mathematics, Volume 1591; Lecture Notes in Mathematics; Scuola Normale Superiore, Pisa
• Categoria: Scienze naturali, medicina, informatica, tecnica > Matematica > Analisi