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| 姓名：列舍特尼亚克著 作者简介： 作品：《几何:Ⅳ:非正规黎曼几何》 姓名：(俄罗斯)列舍特尼亚克(Reshetnyak Y.G)著 作者简介： 作品：《几何:Ⅳ:非正规黎曼几何》 |
| chapter 1.preliminary information 1.introduction 1.1.general information about the subject of research and a survey of results 1.2.some notation and terminology 2.the concept of a space with intrinsic metric 2.1.the concept of the length ofa parametrized curve 2.2.a space with intrinsic metric.the induced metric 2.3.the concept of a shortest curve 2.4.the operation of cutting of a space with intrinsic metric 3.two.dimensional manifolds with intrinsic metric 3.1.definition.triangulation of a manifold 3.2.pasting of two.dimensional manifolds with intrinsic metric 3.3.cutting of manifolds 3.4.a side—of a simple arc in a two-dimensional manifold 4.two.dimensional riemannian geometry 4.1.differentiable two.dimensional manifolds 4.2.the concept of a two.dimensional riemannian manifold 4.3.the curvature of a curve in a riemannian manifold. integral curvature.the gauss-bonnet formula. 4.4.isothermal coordinates in two-dimen 更多 |
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