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 i…
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…