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- W2914419557 abstract "We study complete linear Weingarten spacelike submanifolds with arbitrary high codimension [Formula: see text] in the de Sitter space [Formula: see text] of index [Formula: see text] and whose normalized mean curvature vector is parallel. Under suitable restrictions on the values of the mean curvature function and on the norm of the traceless part of the second fundamental form, we prove that such a spacelike submanifold must be either totally umbilical or isometric to a certain hyperbolic cylinder of [Formula: see text]. Our approach is based on the use of a Simons type formula related to an appropriate Cheng–Yau modified operator jointly with an extension of Hopf’s maximum principle for complete Riemannian manifolds." @default.
- W2914419557 created "2019-02-21" @default.
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- W2914419557 date "2019-04-01" @default.
- W2914419557 modified "2023-09-30" @default.
- W2914419557 title "Complete linear Weingarten spacelike submanifolds with higher codimension in the de Sitter space" @default.
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- W2914419557 doi "https://doi.org/10.1142/s0219887819500506" @default.
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