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ON COMPLETE SPACELIKE (r − 1)-MAXIMAL HYPERSURFACES IN THE ANTI-DE SITTER SPACE Hn+1 1 (−1)

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In this paper we investigate complete spacelike (r − 1)-maximal (i.e., Hr ≡ 0) hypersurfaces with two distinct principal curvatures in the anti-de Sitter space Hn+11 (−1). We give a characterization of the hyperbolic cylinder.

Abstract

In this paper we investigate complete spacelike (r − 1)-maximal (i.e., Hr ≡ 0) hypersurfaces with two distinct principal curvatures in the anti-de Sitter space Hn+11 (−1). We give a characterization of the hyperbolic cylinder.

참고문헌 (10)

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  10. B.-G. Yang, "Complete Spacelike hypersurfaces with constant mean curvature in an anti-de Sitter space", Front. Math. China., 4(4), pp.727~737 (2009)

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