Geodesic
On submanifolds of pseudo-hyperbolic space with 1-type pseudo-hyperbolic Gauss map
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 12 (2016), pp. 315-337

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In this paper, we examine pseudo-Riemannian submanifolds of a pseudo-hyperbolic space $\mathbb H^{m-1}_s (-1) \subset \mathbb E^m_{s+1}$ with finite type pseudo-hyperbolic Gauss map. We begin by providing a characterization of pseudo-Riemannian submanifolds in $\mathbb H^{m-1}_s (-1)$ with 1-type pseudo-hyperbolic Gauss map, and we obtain the classification of maximal surfaces in $\mathbb H^{m-1}_2 (-1) \subset \mathbb E^m_{3}$ with 1-type pseudo-hyperbolic Gauss map. Then we investigate the submanifolds of $\mathbb H^{m-1}_s (-1)$ with 1-type pseudo-hyperbolic Gauss map containing nonzero constant component in its spectral decomposition. 
@article{JMAG_2016_12_a2,
     author = {R. Ye\u{g}in and U. Dursun},
     title = {On submanifolds of pseudo-hyperbolic space with 1-type pseudo-hyperbolic {Gauss} map},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {315--337},
     publisher = {mathdoc},
     volume = {12},
     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JMAG_2016_12_a2/}
}
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R. Yeğin; U. Dursun. On submanifolds of pseudo-hyperbolic space with 1-type pseudo-hyperbolic Gauss map. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 12 (2016), pp. 315-337. http://geodesic.mathdoc.fr/item/JMAG_2016_12_a2/