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- W2233933152 abstract "Pseudo-symmetric spaces of constant type in dimension 3 are Riemannian three-manifolds whose Ricci tensor has, at all points, one double eigenvalue and one simple constant eigenvalue. In this paper we give a survey of our published results for the case when the constant Ricci eigenvalue is negative. In particular, we show that three-dimensional hypersurfaces of the hyperbolic space ℍ4 whose second fundamental form has rank 2 belong to this class. An explicit classification is presented in the case when the space admits so-called asymptotic foliation. Based on this, we show some existence theorems about local isometric embeddings of such spaces into ℍ4." @default.
- W2233933152 created "2016-06-24" @default.
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- W2233933152 date "2006-06-02" @default.
- W2233933152 modified "2023-09-25" @default.
- W2233933152 title "Hypersurfaces of Type Number 2 in the Hyperbolic Four-Space and Their Extensions To Riemannian Geometry" @default.
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- W2233933152 doi "https://doi.org/10.1007/0-387-29555-0_20" @default.
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