3 papers
math.DG2026
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…
math.DG2026
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…
math.DG2026
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…