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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.DG2024
The constant mean curvature hypersurfaces with prescribed gradient image
Rongli Huang, Dayan Wei, Yunhua Ye
In this paper, we consider the existence of constant mean curvature hypersurfaces with prescribed gradient image. Let and be uniformly convex bounded domains in $\mat…
math.DG2024
Lagrangian Mean Curvature Flow in Pseudo-Euclidean Space II
Shanshan Li, Jiaru Lv, Rongli Huang
In this paper, we consider the mean curvature flow of entire Lagrangian graphs with initial data in the pseudo-Euclidean space, which is related to the special Lagrangian parabolic…