5 papers
A geometric flow associated to -curvature
Jiaqi Chen, Xudong Kang, Wei Yuan
Branson's -curvature is a natural fourth-order counterpart of scalar curvature in conformal geometry. In analogy with the classical recovery of the Ricci tensor from the lineari…
Comparison of total quotient curvature
Jiaqi Chen, Yi Fang, Jingyang Zhong
In this paper, we establish some comparison theorems for the total quotient curvature. Specifically, we examine the behavior of the functional with respect to the total quotient cu…
The volume comparison of symmetric spaces of non-compact type of rank 1
Jiaqi Chen, Yufei Shan, Yinghui Ye
Motivated by Schoen's conjecture on the volume functional for closed hyperbolic manifolds, we generalize the volume comparison theorem of Hu, Ji, and Shi and establish a volume com…
Comparison of total -curvature
Jiaqi Chen, Yufei Shan, Yinghui Ye
Volume comparison theorem is a type of fundamental results in Riemannian geometry. In this article, we extend the volume comparison result in \cite{Besse2008} to the comparison of…
Volume comparison theorem with respect to sigma-2 curvature
Jiaqi Chen, Yi Fang, Yan He +1
In this paper, we investigate the volume comparison theorem related to -curvature. In particular, we show that volume comparison theorem with respect to -curvature holds…