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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.
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참고문헌 (10)
참고문헌 신청
B. O'Neill / 1983 / Semi-Riemannian Geometry with Appications to Relativity / Academic Press
B.-G. Yang / 2009 / Complete Spacelike hypersurfaces with constant mean curvature in an anti-de Sitter space / Front. Math. China. 4 (4) : 727 ~ 737
G.-X. Wei / 2006 / Rigidity theorem for hypersurfaces in a unit sphere / Monatsh. Math. 149 (4) : 343 ~ 350
H. Omori / 1967 / Isometric immersions of Riemannian manifolds / J. Math. Soc. Japan 19 : 205 ~ 214
L.-F. Cao / 2007 / A new characterization of hyperbolic cylinder in anti-de Sitter space Hn1+1 (?1) / J. Math. Anal. Appl. 329 (1) : 408 ~ 414
B.-G. Yang / 2009 / Complete Spacelike hypersurfaces with constant mean curvature in an anti-de Sitter space / Front. Math. China. 4 (4) : 727 ~ 737
G.-X. Wei / 2006 / Rigidity theorem for hypersurfaces in a unit sphere / Monatsh. Math. 149 (4) : 343 ~ 350
H. Omori / 1967 / Isometric immersions of Riemannian manifolds / J. Math. Soc. Japan 19 : 205 ~ 214
L.-F. Cao / 2007 / A new characterization of hyperbolic cylinder in anti-de Sitter space Hn1+1 (?1) / J. Math. Anal. Appl. 329 (1) : 408 ~ 414
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