5 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…
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…
Notes on the uniqueness of Type II Yamabe metrics
Shota Hamanaka, Pak Tung Ho
In this paper, we study the uniqueness of type II Yamabe metrics in conformal classes on a compact connected manifold with boundary, and we investigate Obata-type theorems for type…
Deformations of the scalar curvature of a partially integrable pseudohermitian manifold
Jeffrey S. Case, Pak Tung Ho
We consider deformations of the scalar curvature of a partially integrable pseudohermitian manifold, in analogy with the work of Fischer and Marsden on Riemannian manifolds. In par…