| Local Isoperimetric Inequalities for Sectors on Surfaces and Cones |
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| 作者姓名： | Fernando GIMENEZ Javier Orengo VALVERDE |
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| 作者单位： | [1]Department de Matemática Aplicada, University Politdcnica de Valencia, Camino de Vera s/n, 46022, Valencia, Spain [2]Department de Matemáticas, University de Castilla la Mancha, Avda. de Espana, s/n, 02071, Albacete, Spain |
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| 基金项目： | Work partially supported by a DGI （Spain） and Feder Project MTM 2004-06015-C02-01, and AVCiT GRUP0S 03/169 |
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| 摘 要： |
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| 关 键 词： | 局部等周不等式 立体角 几何黎曼流行 超曲面 |
| 收稿时间： | 22 February 2005 |
| 修稿时间： | 2005-02-222005-10-14 |
Local Isoperimetric Inequalities for Sectors on Surfaces and Cones |
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| Fernando GIMENEZ Javier Orengo VALVERDE.Local Isoperimetric Inequalities for Sectors on Surfaces and Cones[J].Acta Mathematica Sinica,2007,23(7):1317-1326. |
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| Authors: | Fernando Giménez Javier Orengo Valverde |
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| Institution: | 1.Department de Matemática Aplicada,University Politécnica de Valencia,Valencia,Spain;2.Department de Matemáticas,University de Castilla la Mancha,Albacete,Spain |
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| Abstract: | On surfaces we give conditions under which the solution of a restricted local isoperimetric problem for sectors with small solid angle is the circular sector and we characterize these surfaces. Also we study this problem for general spherical cones on hypersurfaces in higher dimensional Riemannian manifolds. |
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| Keywords: | isoperimetric cones solid angle |
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