书目名称 | Finsler Metrics - A Global Approach |
副标题 | with Applications to |
编辑 | Marco Abate,Giorgio Patrizio |
视频video | |
丛书名称 | Lecture Notes in Mathematics |
图书封面 |  |
描述 | 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. |
出版日期 | Book 1994 |
关键词 | Complex analysis; Finsler geometry; Finsler metrics; complex Finsler metrics; complex Monge-Ampere equat |
版次 | 1 |
doi | https://doi.org/10.1007/BFb0073980 |
isbn_softcover | 978-3-540-58465-0 |
isbn_ebook | 978-3-540-48812-5Series ISSN 0075-8434 Series E-ISSN 1617-9692 |
issn_series | 0075-8434 |
copyright | Springer-Verlag Berlin Heidelberg 1994 |