De-Tang Zhou

Volume Growth of Self-Shrinkers of the $Q_k$-Flow in $\mathbb{R}^{n+1}$

In this paper, we establish a general volume estimate for complete Riemannian manifolds under suitable differential inequalities involving a proper function and a symmetric tensor, without imposing curvature assumptions. As an application, we prove that a class of orientable hypersurfaces properly immersed in Euclidean...