Deforming convex hypersurfaces by the square root of the scalar curvature.
B. Chow (1987)
Inventiones mathematicae
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Displaying similar documents to “Contracting convex hypersurfaces in Riemannian manifolds by their mean curvature.”
Deforming convex hypersurfaces by the square root of the scalar curvature.
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Commentationes Mathematicae Universitatis Carolinae
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In this paper, by using Cheng-Yau’s self-adjoint operator , we study the complete hypersurfaces in a sphere with constant scalar curvature.
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Andrejs E. Treibergs (1982)
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Misha Gromov (2014)
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We study/construct (proper and non-proper) Morse functions f on complete Riemannian manifolds X such that the hypersurfaces f(x) = t for all −∞ < t < +∞ have positive mean curvatures at all non-critical points x ∈ X of f. We show, for instance, that if X admits no such (not necessarily proper) function, then it contains a (possibly, singular) complete (possibly, compact) minimal hypersurface of finite volume.
Curvature conditions on hypersurfaces with two distinct principal curvatures
Małgorzata Głogowska (2005)
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We investigate curvature properties of hypersurfaces in semi-Riemannian spaces of constant curvature with the minimal polynomial of the second fundamental tensor of second degree. We present suitable examples of hypersurfaces.
Curvature estimates for minimal hypersurfaces in singular spaces.
Ulrich Dierkes (1995)
Inventiones mathematicae
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