4 papers
Convergence rate of the -curvature flow
Pak Tung Ho, Sanghoon Lee
Carlotto, Chodosh and Rubinstein have studied the convergence rate of the Yamabe flow. Inspired by their result, we study the convergence rate of the -curvature flow in this pap…
Deformation of the Weighted Scalar Curvature
Pak Tung Ho, Jinwoo Shin
Inspired by the work of Fischer-Marsden [Duke Math. J. 42 (1975), 519-547], we study in this paper the deformation of the weighted scalar curvature. By studying the kernel of the f…
The weighted Yamabe problem with boundary
Pak Tung Ho, Jinwoo Shin, Zetian Yan
We introduce a Yamabe-type flow \begin{align*} \left\{ \begin{array}{ll} \frac{\partial g}{\partial t} &=(r^m_ϕ-R^m_ϕ)g \\ \frac{\partial ϕ}{\partial t} &=\frac{m}{2}(R^m_ϕ-r^m_ϕ)…
Convergence rate of the prescribed curvature flow
Pak Tung Ho, Jinwoo Shin
The prescribed scalar curvature flow was introduced to study the problem of prescribing scalar curvature on manifolds. Carlotto, Chodosh and Rubinstein have studied the convergence…