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| Volume of Domains in Symmetric Spaces |
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Citation： |
Ximo GUAL-ARNAU,Antonio M. NAVEIRA.Volume of Domains in Symmetric Spaces[J].Chinese Annals of Mathematics B,2007,28(5):521~526 |
| Page view： 1041
Net amount： 798 |
Authors： |
Ximo GUAL-ARNAU; Antonio M. NAVEIRA |
Foundation： |
the Spanish Ministry of Science and Technology Grants MTM2005-08689-C02-02 and MTM 2004-06015-C02-01 |
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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. |
Keywords： |
Curvature-adapted submanifold, Lie triple systematic normal bundle, Root decomposable normal bundle, Symmetric space, Volume |
Classification： |
53C35, 53C21 |
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