Minimal immersions of 2-manifolds into spheres

DOI10.1007/BF01174890zbMath0543.53045MaRDI QIDQ796131

Michael Kozlowski, Udo Simon

Publication date: 1984

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173452

zbMATH Keywords

spherical harmonicsintegral formulacurvature pinchingminimal immersion

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (12)

Unnamed Item ⋮ Contact stationary Legendrian surfaces in \(\mathbb S^5\) ⋮ On problems of U. Simon concerning minimal submanifolds of the nearly Kaehler 6-sphere ⋮ Minimal 2-spheres in a complex projective space ⋮ A pinching theorem for minimal submanifolds in a sphere ⋮ Minimal surfaces in a unit sphere pinched by intrinsic curvature and normal curvature ⋮ Minimal immersions of surfaces into spheres ⋮ Classification and rigidity of self-shrinkers in the mean curvature flow ⋮ Minimal immersions of curvature pinched 2-manifolds into spheres ⋮ Unnamed Item ⋮ Minimal surfaces in a sphere with Gaussian curvature not less than 1/6 ⋮ Minimal immersions of surfaces by the first eigenfunctions and conformal area

Cites Work

• Some differential equations on Riemannian manifolds
• Submanifolds with parallel mean curvature vector and the curvature of minimal submanifolds of spheres
• Minimal immersions of Riemannian manifolds
• Minimal immersions of surfaces in Euclidean spheres
• Local rigidity theorems for minimal hypersurfaces
• Minimal immersions of spheres into spheres
• Certain conditions for a Riemannian manifold to be isometric with a sphere
• Eigenvalues and Eigenfunctions of Riemannian Manifolds
• Eigenvalues of the Laplacian and curvature
• Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length

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