| Volume of Domains in Symmetric Spaces |
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| 引用本文： | Ximo GUAL-ARNAU,Antonio M. NAVEIRA. Volume of Domains in Symmetric Spaces[J]. 数学年刊B辑(英文版), 2007, 28(5): 521-526. DOI: 10.1007/s11401-006-0133-4 |
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| 作者姓名： | Ximo GUAL-ARNAU Antonio M. NAVEIRA |
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| 作者单位： | Ximo GUAL-ARNAU（Department of Mathematics, Universitat Jaume I, 12071-Castelló, Spain） ;Antonio M. NAVEIRA（Departamento de Geometría y Topología, Universidad de Valencia, 46100-Burjassot, Valencia, Spain） ; |
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| 基金项目： | Project supported by the Spanish Ministry of Science and Technology Grants MTM2005-O8689-G02-02 and MTM 2004-06015-C02-01. |
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| 摘 要： | The authors derive a formula for the volume of a compact domain in a symmetric space from normal sections through a special submanifold in the symmetric space.This formula generalizes the volume of classical domains as tubes or domains given as motions along the submanifold.Finally,some stereological considerations regarding this formula are provided.
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| 关 键 词： | 曲率 子簇 可分解 数学公式 |
| 收稿时间： | 2003-04-06 |
| 修稿时间： | 2010-01-07 |
Volume of Domains in Symmetric Spaces |
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| Ximo GUAL-ARNAU and Antonio M. NAVEIRA. Volume of Domains in Symmetric Spaces[J]. Chinese Annals of Mathematics,Series B, 2007, 28(5): 521-526. DOI: 10.1007/s11401-006-0133-4 |
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| Authors: | Ximo GUAL-ARNAU and Antonio M. NAVEIRA |
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| Affiliation: | 1. Department of Mathematics, Universitat Jaume I, 12071-Castelló, Spain
2. Departamento de Geometría y Topología, Universidad de Valencia, 46100-Burjassot, Valencia, Spain |
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| Abstract: | The authors derive a formula for the volume of a compact domain in a symmetric space from normal sections through a special submanifold in the symmetric space.This formula generalizes the volume of classical domains as tubes or domains given as motions along the submanifold.Finally,some stereological considerations regarding this formula are provided. |
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| Keywords: | Curvature-adapted submanifold Lie triple systematic normal bundle Root decomposable normal bundle Symmetric space Volume |
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