Compact hypersurfaces with a constant higher mean curvature function
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Publication:791903
DOI10.1007/BF01455537zbMath0536.53054MaRDI QIDQ791903
Publication date: 1985
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/182950
Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Non-Euclidean differential geometry (53A35)
Related Items (15)
Immersed hypersurfaces with constant Weingarten curvature ⋮ On some \(L_k\)-finite-type Euclidean hypersurfaces ⋮ On complete submanifolds with parallel mean curvature in negative pinched manifolds ⋮ The convex-concave principle and uniqueness for hypersurfaces in space forms ⋮ A characterization of round spheres in space forms ⋮ CONSTANT SCALAR CURVATURE HYPERSURFACES WITH SECOND-ORDER UMBILICITY ⋮ Visibility of surfaces via differential geometry ⋮ On integral formulas for submanifolds of spaces of constant curvature and some applications ⋮ Constant mean curvature tori with spherical curvature lines in noneuclidean geometry ⋮ Some rigidity properties for manifolds with constant \(k\)-curvature of modified Schouten tensor ⋮ Curvature measures and stability ⋮ A Reilly inequality for some natural elliptic operators on hypersurfaces ⋮ Total curvature of complete submanifolds of Euclidean space ⋮ Uniqueness of horospheres and geodesic cylinders in hyperbolic space ⋮ Some theorems on Codazzi tensors
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