The hypersurfaces with conformal normal Gauss map in H n + 1 and S n + 11 ∗ † ‡
نویسنده
چکیده
In this paper we introduce the fourth fundamental form for the hypersurfaces in H and the space-like hypersurfaces in S 1 and discuss the conformality of the normal Gauss maps of the hypersurfaces in H and S 1 . Particularly, we discuss the surfaces with conformal normal Gauss maps in H and S 1 and prove a duality property. We give the Weierstrass representation formula for the space-like surfaces in S 1 with conformal normal Gauss maps. We also state the similar results for the time-like surfaces in S 1 .
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