A note on stability of minimal surfaces in -dimensional hyperbolic space .
The Ricci curvature of totally real 3-dimensional submanifolds of the nearly Kaehler 6-sphere.
Curvature pinching for odd-dimensional minimal submanifolds in a sphere.
Rigidity Theorems of Hypersurfaces in a Sphere
A Note on Stability of Minimal Surfaces in n-dimensional Hyperbolic Space Hn(c)
Curvature Pinching for Odd-dimensional Minimal Submanifolds in a Sphere
Hypersurfaces with constant scalar curvature in space forms.
Some nonexistence theorems on stable minimal submanifolds
We prove that there exist no stable minimal submanifolds in some n-dimensional ellipsoids, which generalizes J. Simons' result about the unit sphere and gives a partial answer to Lawson–Simons' conjecture.
The gaps in the spectrum of the Schrödinger operator
We obtain inequalities between the eigenvalues of the Schrödinger operator on a compact domain Ω of a submanifold M in with boundary ∂Ω, which generalize many existing inequalities for the Laplacian on a bounded domain of a Euclidean space. We also establish similar inequalities for a closed minimal submanifold in the unit sphere, which generalize and improve Yang-Yau’s result.
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