3 papers
math.DG2026
Constant Rank Theorems under Intermediate Ricci Curvature
Mijia Lai, Guoqiang Wu
We prove two constant rank theorems for the Ricci tensor in two geometric settings: manifolds with harmonic curvature and gradient Ricci solitons. In both cases, if the -interme…
math.DG2023
Rigidity of Schouten Tensor under Conformal Deformation
Mijia Lai, Guoqiang Wu
We obtain some rigidity results for metrics whose Schouten tensor is bounded from below after conformal transformations. Liang Cheng recently proved that a complete, nonflat, local…
math.DG2023
Shrinkers with curvature pinching conditions are compact
Guoqiang Wu, Jia-Yong Wu
In this paper, we give various curvature pinching conditions such that shrinkers are compact. On one hand, we prove that shrinkers with positive Ricci curvature are compact when th…