J. Gu

activity

20102019

most citedAn Optimal Differentiable Sphere Theorem for Complete Manifolds

2 citations · 3 across the 6 of their papers we have counts for

collaborators

Showing 2011Show all

4 papers · 1 filter

math.DG2011

Topological and differentiable rigidity of submanifolds in space forms

Hong-Wei Xu, Juan-Ru Gu

Let $F^{n + p} (c)$ be an $(n + p)$ -dimensional simply connected space form with nonnegative constant curvature $c$ . We prove that if $M^{n} (n \geq 4)$ is a compact submanifold in $F^{n+p}(…

math.DG2011

Rigidity of submanifolds with parallel mean curvature in space froms

Hong-Wei Xu, Juan-Ru Gu

Let $M$ be an $n (\geq 3)$ -dimensional oriented compact submanifold with parallel mean curvature in the simply connected space form $F^{n + p} (c)$ with $c + H^{2} > 0$ , where $H$ is the mean…

math.DG2011★ 1 cited

On Yau rigidity theorem for minimal submanifolds in spheres

Juan-Ru Gu, Hong-Wei Xu

In this note, we investigate the well-known Yau rigidity theorem for minimal submanifolds in spheres. Using the parameter method of Yau and the DDVV inequality verified by Lu, Ge a…

math.DG2011

The sphere theorems for manifolds with positive scalar curvature

Juan-Ru Gu, Hong-Wei Xu

Some new differentiable sphere theorems are obtained via the Ricci flow and stable currents. We prove that if $M^{n}$ is a compact manifold whose normalized scalar curvature and sect…