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- W1854165419 abstract "In this work, we study the pseudo-Riemannian submanifolds of a pseudo-sphere with 1-type pseudo-spherical Gauss map. First, we classify the Lorentzian surfaces in a 4-dimensional pseudo-sphere $mathbb{S}^4_s(1)$ with index s, $s=1, 2$, and having harmonic pseudo-spherical Gauss map. Then we give a characterization theorem for pseudo-Riemannian submanifolds of a pseudo-sphere $mathbb{S}^{m-1}_s(1)subsetmathbb{E}^m_s$ with 1-type pseudo-spherical Gauss map, and we classify spacelike surfaces and Lorentzian surfaces in the de Sitter space $mathbb{S}^4_1(1)subsetmathbb{E}^5_1$ with 1-type pseudo-spherical Gauss map. Finally, according to the causal character of the mean curvature vector we obtain the classification of submanifolds of a pseudo-sphere having 1-type pseudo-spherical Gauss map with nonzero constant component in its spectral decomposition." @default.
- W1854165419 created "2016-06-24" @default.
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- W1854165419 date "2015-10-28" @default.
- W1854165419 modified "2023-10-17" @default.
- W1854165419 title "Pseudo-spherical submanifolds with 1-type pseudo-spherical Gauss map" @default.
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