| 书目名称 | Nonlinear Methods in Riemannian and Kählerian Geometry | | 副标题 | Delivered at the Ger | | 编辑 | Jürgen Jost | | 视频video | | | 图书封面 |  | | 描述 | In this book, I present an expanded version of the contents of my lectures at a Seminar of the DMV (Deutsche Mathematiker Vereinigung) in Düsseldorf, June, 1986. The title "Nonlinear methods in complex geometry" already indicates a combination of techniques from nonlinear partial differential equations and geometric concepts. In older geometric investigations, usually the local aspects attracted more attention than the global ones as differential geometry in its foundations provides approximations of local phenomena through infinitesimal or differential constructions. Here, all equations are linear. If one wants to consider global aspects, however, usually the presence of curvature Ieads to a nonlinearity in the equations. The simplest case is the one of geodesics which are described by a system of second ordernonlinear ODE; their linearizations are the Jacobi fields. More recently, nonlinear PDE played a more and more pro~inent röle in geometry. Let us Iist some of the most important ones: - harmonic maps between Riemannian and Kählerian manifolds - minimal surfaces in Riemannian manifolds - Monge-Ampere equations on Kähler manifolds - Yang-Mills equations in vector bundles over m | | 出版日期 | Book 1991Latest edition | | 关键词 | curvature; differential geometry; manifold; Minimal surface | | 版次 | 2 | | doi | https://doi.org/10.1007/978-3-0348-7706-0 | | isbn_softcover | 978-3-0348-7708-4 | | isbn_ebook | 978-3-0348-7706-0 | | copyright | Springer Basel AG 1991 |
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发表于 2025-3-21 18:01:52
