Concepedia

Ricci curvature and minimal submanifolds

Thomas Hasanis, Theodoros Vlachos

Pacific Journal of Mathematics · 2001 · 14 citations · 9 references

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Abstract

The aim of this paper is to find necessary conditions for a given complete Riemannian manifold to be realizable as a minimal submanifold of a unit sphere.

References

9

Three-manifolds with positive Ricci curvature

Richard S. Hamilton · Journal of Differential Geometry · 1982 · 3K citations · Full text

, , +17

On Stable Currents and Their Application to Global Problems in Real and Complex Geometry

H. Blaine Lawson, James Simons · Annals of Mathematics · 1973 · 213 citations

, , +12

Minimal Hypersurfaces in a Riemannian Manifold of Constant Curvature

Tominosuke Ôtsuki · American Journal of Mathematics · 1970 · 210 citations

, , +8

Minimal Immersions of Spheres into Spheres

Manfredo P. do Carmo, Nolan R. Wallach · Annals of Mathematics · 1971 · 168 citations

, , +13

Rigidity and convexity of hypersurfaces in spheres

Manfredo P. do Carmo, F. W. Warner · Journal of Differential Geometry · 1970 · 89 citations · Full text

, , +6