Complete hypersurfaces immersed in a semi-Riemannian warped product
نویسندگان
چکیده
منابع مشابه
On Complete Spacelike Hypersurfaces in a Semi-Riemannian Warped Product
By applying Omori-Yau maximal principal theory and supposing an appropriate restriction on the norm of gradient of height function, we obtain some new Bernstein-type theorems for complete spacelike hypersurfaces with nonpositive constant mean curvature immersed in a semi-Riemannian warped product. Furthermore, some applications of our main theorems for entire vertical graphs in Robertson-Walker...
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In this paper, by supposing a natural comparison inequality on the positive r-th mean curvatures of the hypersurface, we obtain some new Bernstein-type theorems for complete spacelike hypersurfaces immersed in a semi-Riemannian warped product of constant sectional curvature. Generalizing the above results, under a restriction on the sectional curvature or the Ricci curvature tensor of the fiber...
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We show that there exist no proper warped product semi-invariant submanifolds in almost paracontact Riemannian manifolds such that totally geodesic submanifold and totally umbilical submanifold of the warped product are invariant and anti-invariant, respectively. Therefore, we consider warped product semi-invariant submanifolds in the form N N⊥×fNT by reversing two factor manifolds NT and N⊥. W...
متن کاملA Note on Bernstein-type Results of Spacelike Hypersurfaces in Semi-riemannian Warped Products
In this paper, making use of the well known generalized maximum principal according to Omori-Yau [20, 24] and considering the Laplacian of the integral of the warping function [4, 22], we prove some new Bernstein-type theorems concerning complete spacelike hypersurfaces immersed in semi-Riemannian warped products. Our main theorems extend the corresponding results proved by de Lima [13] and Aqu...
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and Applied Analysis 3 where TX and NX are the tangential and normal components of FX, respectively, and for V ∈ T⊥M,
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ژورنال
عنوان ژورنال: Differential Geometry and its Applications
سال: 2012
ISSN: 0926-2245
DOI: 10.1016/j.difgeo.2011.11.010