SYMMETRIES ON THREE-DIMENSIONAL HOMOGENEOUS SPACES
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概要
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We classify the connected, simply connected, three-dimensional homogeneous Riemannian manifolds which have at one point a ＄(1, 1)＄ -tensor ＄S＄ such that ＄S-I＄ is invertible, ＄S＄ preserves the metric and moreover i) the Ricci tensor ＄￥rho＄ and its covariant derivatives ＄￥nabla 0＄ and ＄￥nabla^{2}￥rho＄ are weakly S-invariant or ii) ＄￥rho＄ and ＄￥nabla￥rho＄ are S-invariant or iii) ＄￥rho＄ and ＄￥nabla￥rho＄ are weakly S-invariant.
- Yokohama City Universityの論文
- 1988-00-00
Yokohama City University | 論文
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