Elementary geometric applications of a maximum principle for nonlinear elliptic operators

DOI10.1007/BF01228181zbMath0252.53050MaRDI QIDQ2557488

Dimitri Koutroufiotis

Publication date: 1973

Published in: Archiv der Mathematik (Search for Journal in Brave)

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)

Related Items (9)

On the Ricci curvature of a compact hypersurface in Euclidean space ⋮ On nonimmersibility of compact hypersurfaces into a ball of a simply connected space form ⋮ A sufficient condition for a compact immersion to be spherical ⋮ On the solutions to certain Laplace inequalities with applications to geometry of submanifolds ⋮ Rigidity of spheres in Riemannian manifolds and a non-embedding theorem ⋮ Curvature properties of compact spacelike hypersurfaces in de Sitter space ⋮ On the Sectional Curvature of Compact Hypersurfaces ⋮ The length of the second fundamental form, a tangency principle and applications ⋮ Sharp estimates for the size of balls in the complement of a hypersurface

Cites Work

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• On surfaces of constant mean curvature which span a given space curve
• Über Flächen mit eindeutiger Projektion auf eine Ebene, deren Krümmungen durch Ungleichungen eingeschränkt sind
• Uniqueness theorems for surfaces in the large. I, II, III, IV, V

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