https://neckpinch.com/authors/ting-jung-kuo/New arXiv papers by Ting-Jung Kuo, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/1905.01783/arxiv:1905.01783Mon, 06 May 2019 00:00:00 GMTShu-Cheng Chang, Ting-Jung Kuo, Takanari Saotome — In this note, we affirm the partial answer to the long open Conjecture which states that any closed embeddable strictly pseudoconvex CR 3-manifold admits a contact form θ with the vanishing CR Q-curvature. More precisely, we deform the contact form according to an CR analogue of Q%-curvature flow in a closed strictly pseudoconvex CR 3-manifold (M, J,[θ₀]) of the vanishing first Chern class c₁(T_(1,0)M). Suppose that M is embeddable and the CR Paneitz operator P₀ is nonnegative with kernel consisting of the CR pluriharmonic functions. We show that the solution of CR Q-curvature flow exists for all time and has smoothly asymptotic convergence on M× lbrack 0,∞ ).\ As a consequence, we are able to affirm the Conjecture in a closed strictly pseudoconvex CR 3-manifold of the vanishing first Chern class and vanishing torsion.Other curvature flows3-manifoldsLong-time existence & convergence