3 papers
math.DG2019
Remarks on shrinking gradient Kähler-Ricci solitons with positive bisectional curvature
Guoqiang Wu, Shijin Zhang
In this short note, using an argument by Munteanu and Wang, we provide an alternative proof of the fact first obtained by Lei Ni that shrinking gradient Kähler-Ricci solitons with…
math.DG2013
Monotonicity Formulas for Bakry-Emery Ricci Curvature
Bingyu Song, Guofang Wei, Guoqiang Wu
Motivated and inspired by the recent work of Colding [5] and Colding-Minicozzi [6] we derive several families of monotonicity formulas for manifolds with nonnegative Bakry-Emery Ri…
math.DG2012
A Note On Obata's Rigidity Theorem I
Guoqiang Wu, Rugang Ye
In this note we present various extensions of Obata's rigidity theorem concerning the Hessian of a function on a Riemannian manifold. They include general rigidity theorems for the…