Weingarten spacelike hypersurfaces in a de Sitter space
2012 ◽
Vol 20
(1)
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pp. 387-406
Keyword(s):
Abstract We study some Weingarten spacelike hypersurfaces in a de Sitter space S1n+1 (1). If the Weingarten spacelike hypersurfaces have two distinct principal curvatures, we obtain two classification theorems which give some characterization of the Riemannian product Hk(1−coth2 ϱ)× Sn−k(1 − tanh2 ϱ), 1 < k < n − 1 in S1n+1(1), the hyperbolic cylinder H1(1 − coth2 ϱ) × Sn-1(1 − tanh2 ϱ) or spherical cylinder Hn−1(1 − coth2 ϱ) × S1(1 − tanh2 ϱ) in S1n+1 (1)
2011 ◽
Vol 29
(3)
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pp. 279-291
2007 ◽
Vol 329
(1)
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pp. 408-414
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2006 ◽
Vol 73
(1)
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pp. 9-16
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2009 ◽
Vol 2009
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pp. 1-12
2010 ◽
Vol 21
(05)
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pp. 551-569
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2010 ◽
Vol 52
(3)
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pp. 635-648
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Keyword(s):
1977 ◽
Vol 82
(3)
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pp. 489-495
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1998 ◽
Vol 14
(2)
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pp. 285-288
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