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math.DG2024
Rigidity Results for Compact Submanifolds with Pinched Ricci Curvature in Euclidean and Spherical Space Forms
Jianquan Ge, Ya Tao, Yi Zhou
For compact submanifolds in Euclidean and Spherical space forms with Ricci curvature bounded below by a function of mean curvature, we prove that the submanifold is ei…
math.DG2024
Normal Scalar Curvature Inequality on a Class of Austere Submanifolds
Jianquan Ge, Ya Tao, Yi Zhou
In this paper, we establish new normal scalar curvature inequalities on a class of austere submanifolds by proving sharper DDVV-type inequalities on associated austere subspaces. W…