| On the Volume Formulas of Cones and Orthogonal Multi-cones in S~n(1) and H~n(-1) |
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| 作者姓名： | Wu-Yi HSIANG |
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| 摘 要： | In the study of n-dimensional spherical or hyperbolic geometry, n ≥3, the volume of various objects such as simplexes, convex polytopes, etc. often becomes rather difficult to deal with. In this paper, we use the method of infinitesimal symmetrization to provide a systematic way of obtaining volume formulas of cones and orthogonal multiple cones in Sn(l) and Hn(-1).
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On the Volume Formulas of Cones and Orthogonal Multi-cones in Sn(1) and Hn(-1) |
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| Wu-Yi HSIANG.On the Volume Formulas of Cones and Orthogonal Multi-cones in S~n(1) and H~n(-1)[J].Chinese Annals of Mathematics,Series B,2006,27(1). |
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| Authors: | Wu-Yi HSIANG |
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| Institution: | Dedicated to the memory of Shiing-Shen Chern |
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| Abstract: | In the study of n-dimensional spherical or hyperbolic geometry, n ≥ 3, the volume of various objects such as simplexes, convex polytopes, etc. often becomes rather difficult to deal with. In this paper, we use the method of infinitesimal symmetrization to provide a systematic way of obtaining volume formulas of cones and orthogonal multiple cones in Sn(1) and Hn(-1). |
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| Keywords: | Hyperbolic geometry Volume |
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