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Hyperbolic submanifolds with finite type hyperbolic Gauss map
(World Scientific Publishing Co. Pte Ltd, 2015-02)
We study submanifolds of hyperbolic spaces with finite type hyperbolic Gauss map. First, we classify the hyperbolic submanifolds with 1-type hyperbolic Gauss map. Then we prove that a non-totally umbilical hypersurface M-n ...
On submanifolds of pseudo-hyperbolic space with 1-type pseudo-hyperbolic gauss map
(B. I. Verkin Institute for Low Temperature Physics and Engineering, 2016)
In this paper, we examine pseudo-Riemannian submanifolds of a pseudo-hyperbolic space ?m-1 s (-1) ? Em s+1 with finite type pseudo-hyperbolic Gauss map. We begin by providing a characterization of pseudo-Riemannian sub- ...