| 书目名称 | Nonpositive Curvature: Geometric and Analytic Aspects | | 编辑 | Jürgen Jost | | 视频video | | | 丛书名称 | Lectures in Mathematics. ETH Zürich | | 图书封面 |  | | 描述 | The present book contains the lecture notes from a "Nachdiplomvorlesung", a topics course adressed to Ph. D. students, at the ETH ZUrich during the winter term 95/96. Consequently, these notes are arranged according to the requirements of organizing the material for oral exposition, and the level of difficulty and the exposition were adjusted to the audience in Zurich. The aim of the course was to introduce some geometric and analytic concepts that have been found useful in advancing our understanding of spaces of nonpos itive curvature. In particular in recent years, it has been realized that often it is useful for a systematic understanding not to restrict the attention to Riemannian manifolds only, but to consider more general classes of metric spaces of generalized nonpositive curvature. The basic idea is to isolate a property that on one hand can be formulated solely in terms of the distance function and on the other hand is characteristic of nonpositive sectional curvature on a Riemannian manifold, and then to take this property as an axiom for defining a metric space of nonposi tive curvature. Such constructions have been put forward by Wald, Alexandrov, Busemann, and othe | | 出版日期 | Book 1997 | | 关键词 | calculus; calculus of variation; curvature; geometry; manifold | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-0348-8918-6 | | isbn_softcover | 978-3-7643-5736-8 | | isbn_ebook | 978-3-0348-8918-6 | | copyright | Springer Basel AG 1997 |
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发表于 2025-3-21 17:46:14
