80 citations · 151 across the 12 of their papers we have counts for
12 papers
A fully-nonlinear flow and quermassintegral inequalities in the sphere
Chuanqiang Chen, Pengfei Guan, Junfang Li +1
This expository paper presents the current knowledge of particular fully nonlinear curvature flows with local forcing term, so-called locally constrained curvature flows. We focus…
A volume preserving flow and the isoperimetric problem in warped product spaces
Pengfei Guan, Junfang Li, Mu-Tao Wang
In this article, we continue the work in \cite{GL} and study a normalized hypersurface flow in the more general ambient setting of warped product spaces. This flow preserves the vo…
An integral formula for affine connections
Junfang Li, Chao Xia
In this article, we introduce a -parameter family of affine connections and derive the Ricci curvature. We first establish an integral Bochner technique. On one hand, this techn…
An integral formula and its applications on sub-static manifolds
Junfang Li, Chao Xia
In this article, we first establish the main tool - an integral formula for Riemannian manifolds with multiple boundary components (or without boundary). This formula generalizes R…
A mean curvature type flow in space forms
Pengfei Guan, Junfang Li
In this article, we introduce a new type of mean curvature flow for bounded star-shaped domains in space forms and prove its longtime existence, exponential convergence without any…
Hypersurfaces of Prescribed Curvature Measure
Pengfei Guan, Junfang Li, YanYan Li
We consider the corresponding Christoffel-Minkowski problem for curvature measures. The existence of star-shaped -convex bodies with prescribed -th curvature measures ($k…