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Focusing on nonpositive curvature, the book explores both geometric and analytic dimensions, beginning with Riemannian examples and rigidity theorems. It delves into generalized concepts of nonpositive curvature within metric geometry, referencing Alexandrov and Busemann's frameworks. Additionally, the text addresses the theory of harmonic maps that take values in spaces characterized by these curvature properties, providing a comprehensive understanding of the topic.
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Nonpositive Curvature: Geometric and Analytic Aspects, Jürgen Jost
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- Année de publication
- 1997
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