4 papers · 1 filter
A non-convergence phenomenon for the CR Yamabe flow
Claudio Afeltra, Andrea Pinamonti, Pak Tung Ho
We construct a contact form on a three dimensional CR manifold such that the CR Yamabe flow fails to converge. More precisely, on small Rossi deformations of the standard CR three-…
Non-embeddable torus and CR Paneitz operator
Pak Tung Ho, Yuya Takeuchi
The CR Paneitz operator is closely related to several important problems in CR geometry. In this paper, we study the CR Paneitz operator on non-embeddable three-dimensional tori. U…
Compactness in Dimension Five and Equivariant Noncompactness for the CR Yamabe Problem
Claudio Afeltra, Andrea Pinamonti, Pak Tung Ho
We study compactness and noncompactness phenomena for the CR Yamabe equation on compact strictly pseudoconvex CR manifolds. First, in dimension five we establish uniform \emph{a pr…
Prescribed -curvature flow on the four-dimensional unit ball
Pak Tung Ho, Cheikh Birahim Ndiaye, Liming Sun +1
In this paper, we study the prescribed -curvature problem on the unit ball of via the -curvature flow approach. By combining Ache-Chang's inequ…