3 papers
math.DG2022
Convergence rate of the weighted Yamabe flow
Pak Tung Ho, Jinwoo Shin, Zetian Yan
The weighted Yamabe flow was the geometric flow introduced to study the weighted Yamabe problem on smooth metric measure spaces. Carlotto, Chodosh and Rubinstein have studied the c…
math.DG2022
Some results on the weighted Yamabe problem with or without boundary
Pak Tung Ho, Jinwoo Shin, Zetian Yan
Let be a compact smooth metric measure space with boundary with . In this article, we consider several Yamabe-type problems on a com…
math.DG2022
Improved higher-order Sobolev inequalities on CR sphere
Zetian Yan
We improve higher-order CR Sobolev inequalities on under the vanishing of higher order moments of the volume element. As an application, we give a new and direct proof o…