Some remarks on minimal submanifolds

DOI10.2748/tmj/1178242819zbMath0202.21003OpenAlexW2094442749MaRDI QIDQ2540980

Katsuei Kenmotsu

Publication date: 1970

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178242819

Related Items (9)

Submanifolds with parallel mean curvature vector in spheres ⋮ Differential geometry of submanifolds ⋮ Generic submanifolds ⋮ Submanifolds satisfying the condition $K(X,\,Y)\cdot K=0$ ⋮ Ric-semisymmetric submanifolds ⋮ Immersions of codimension two with trivial normal connexion into elliptic spaces ⋮ Minimal Surfaces with Constant Gauss Curvature ⋮ The gap phenomenon for extremal submanifolds in a sphere ⋮ Sur les hypersurfaces minimales dans un espace elliptique à quatre et à cinq dimensions

Cites Work

• Local rigidity theorems for minimal hypersurfaces
• On hypersurfaces satisfying a certain condition on the curvature tensor
• Minimal varieties in Riemannian manifolds
• Hypersurfaces satisfying a certain condition on the Ricci tensor
• Pseudo-Jacobi fields on minimal varieties
• Some hypersurfaces of a sphere
• Minimal Hypersurfaces in a Riemannian Manifold of Constant Curvature
• Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length
• On the Second and Third Fundamental Forms of a Subspace

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