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Titlebook: Nonpositive Curvature: Geometric and Analytic Aspects; Jürgen Jost Book 1997 Springer Basel AG 1997 calculus.calculus of variation.curvatu

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發(fā)表于 2025-3-21 17:46:14 | 只看該作者 |倒序瀏覽 |閱讀模式
書目名稱Nonpositive Curvature: Geometric and Analytic Aspects
編輯Jürgen Jost
視頻videohttp://file.papertrans.cn/668/667844/667844.mp4
叢書名稱Lectures in Mathematics. ETH Zürich
圖書封面Titlebook: Nonpositive Curvature: Geometric and Analytic Aspects;  Jürgen Jost Book 1997 Springer Basel AG 1997 calculus.calculus of variation.curvatu
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
關鍵詞calculus; calculus of variation; curvature; geometry; manifold
版次1
doihttps://doi.org/10.1007/978-3-0348-8918-6
isbn_softcover978-3-7643-5736-8
isbn_ebook978-3-0348-8918-6
copyrightSpringer Basel AG 1997
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沙發(fā)
發(fā)表于 2025-3-21 20:54:21 | 只看該作者
Generalized harmonic maps,s.where .μ is the measure on . induced by the Riemannian metric, . is the differential of ., and the norm ‖ · ‖ is induced by the Riemannian metrics of . and .. Smooth minimizers, or more generally solutions of the associated Euler-Lagrange equations, were called harmonic maps.
板凳
發(fā)表于 2025-3-22 04:06:05 | 只看該作者
978-3-7643-5736-8Springer Basel AG 1997
地板
發(fā)表于 2025-3-22 06:07:52 | 只看該作者
Lectures in Mathematics. ETH Zürichhttp://image.papertrans.cn/n/image/667844.jpg
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https://doi.org/10.1007/978-3-0348-8918-6calculus; calculus of variation; curvature; geometry; manifold
6#
發(fā)表于 2025-3-22 15:22:23 | 只看該作者
Spaces of nonpositive curvature,We first recall some constructions from Riemannian geometry. A reference is J. Jost, Riemannian geometry and geometric analysis, Springer, 1995.
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Jürgen Jostr I am still here (though now in the Czech Republic). Until 1977 I taught at language schools, since then at Masaryk University, in the country’s “second city,” Brno. Canada was always a natural part of my practical English classes, but in 1985, with the introduction of my first course in Canadian l
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