3 papers
math.AP2025
Second boundary value problem for the Hessian curvature flow
Rongli Huang, Changzheng Qu, Zhizhang Wang +1
We investigate the evolution of strictly convex hypersurfaces driven by the -Hessian curvature flow, subject to the second boundary condition. We first explore the translating s…
math.DG2024
Hessian curvature hypersurfaces with prescribed Gauss image
Huang Rongli, Qu Changzheng, Wang Zhizhang +1
In this paper, we investigate Hessian curvature hypersurfaces with prescribed Gauss images. Given geodesically strictly convex bounded domains in and …
math.AP2024
Translating solutions and the entire Hessian curvature flow in Minkowski space
Qu Changzheng, Wang Zhizhang, Wo Weifeng
In this paper, we study the -Hessian curvature flow of noncompact spacelike hypersurfaces in Minkowski space. We first prove the existence of translating solutions with given as…