Showing 2026Show all
2 papers · 1 filter
math.DG2026
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…
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…