The hypersurfaces with conformal normal Gauss map in H^n+1 and S_{1}^{n+1}

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dc.creatorShi, Shuguo
dc.date2006-10-31
dc.date2006-11-14
dc.date.accessioned2026-07-07T07:29:40Z
dc.date.available2026-07-07T07:29:40Z
dc.descriptionIn this paper we introduce the fourth fundamental form for the hypersurfaces in $H^{n+1}$ and the space-like hypersurfaces in $S_{1}^{n+1}$ and discuss the conformality of the normal Gauss maps of the hypersurfaces in $H^{n+1}$ and $S_{1}^{n+1}$. Particularly, we discuss the surfaces with conformal normal Gauss maps in $H^{3}$ and $S_{1}^{3}$ and prove a duality property. We give the Weierstrass representation formula for the space-like surfaces in $S_{1}^{3}$ with conformal normal Gauss maps. We also state the similar results for the time-like surfaces in $S_{1}^{3}.$
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/math/0610964
dc.identifierhttp://arxiv.org/abs/math/0610964
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/118198
dc.subjectDifferential Geometry
dc.subject53C42;53A10
dc.titleThe hypersurfaces with conformal normal Gauss map in H^n+1 and S_{1}^{n+1}
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