| 書目名稱 | Nonlinear Methods in Riemannian and K?hlerian Geometry | | 編輯 | Jürgen Jost | | 視頻video | http://file.papertrans.cn/668/667555/667555.mp4 | | 叢書名稱 | Oberwolfach Seminars | | 圖書封面 |  | | 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 Diisseldorf, 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 leads to a nonlinearity in the equations. The simplest case is the one of geodesics which are described by a system of second order nonlinear ODE; their linearizations are the Jacobi fields. More recently, nonlinear PDE played a more and more prominent role in geometry. Let us list some of the most important ones: - harmonic maps between Riemannian and Kahlerian manifolds - minimal surfaces in Riemannian manifolds - Monge-Ampere equations on Kahler manifolds - Yang-Mills equations in vector bundles over | | 出版日期 | Book 19881st edition | | 關(guān)鍵詞 | Mathematik; Minimal surface; attention; curvature; differential geometry; manifold; system | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-0348-7690-2 | | isbn_ebook | 978-3-0348-7690-2Series ISSN 1661-237X Series E-ISSN 2296-5041 | | issn_series | 1661-237X | | copyright | Birkh?user Basel 1988 |
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