Deforming convex hypersurfaces by the square root of the scalar curvature.
B. Chow (1987)
Inventiones mathematicae
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B. Chow (1987)
Inventiones mathematicae
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Klaus Ecker, Gerhard Huisken (1991)
Inventiones mathematicae
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J. Barbosa, M. do Carmo, J. Eschenbug (1988)
Mathematische Zeitschrift
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Huisken, Gerhard (1998)
Documenta Mathematica
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Rolf Schneider (1983)
Annales Polonici Mathematici
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Ximin Liu, Hongxia Li (2005)
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.
Andrejs E. Treibergs (1982)
Inventiones mathematicae
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Misha Gromov (2014)
Open Mathematics
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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.
Małgorzata Głogowska (2005)
Banach Center Publications
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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.