| Automorphism groups of causal symmetric spaces of Cayley type and bounded symmetric domains |
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| 作者姓名： | Soji Kaneyuki |
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| 作者单位： | Department of |
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| 摘 要： | Symmetric spaces of Cayley type are a higher dimensional analogue of a one-sheeted hyperboloid in R3. They form an important class of causal symmetric spaces. To a symmetric space of Cayley type M, one can associate a bounded symmetric domain of tube type D. We determine the full causal automorphism group of M. This clarifies the relation between the causal automorphism group and the holomorphic automorphism group of D.
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Automorphism groups of causal symmetric spaces of Cayley type and bounded symmetric domains |
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| Soji Kaneyuki.Automorphism groups of causal symmetric spaces of Cayley type and bounded symmetric domains[J].Science in China(Mathematics),2005,48(Z1). |
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| Authors: | Soji Kaneyuki |
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| Institution: | Department of Mathematics,Nihon Institute of Technology,Miyashiro-cho,Saitama 345-8501,Japan |
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| Abstract: | Symmetric spaces of Cayley type are a higher dimensional analogue of a one-sheeted hyperboloid in R3. They form an important class of causal symmetric spaces. To a symmetric space of Cayley type M, one can associate a bounded symmetric domain of tube type D. We determine the full causal automorphism group of M. This clarifies the relation between the causal automorphism group and the holomorphic automorphism group of D. |
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| Keywords: | causal structure symmetric space of Cayley type bounded symmetric domain |
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