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math.DG2026
Evolution of hypersurfaces in -dimensional light-cone
Xinjie Jiang, Shengliang Pan, Yun Yang
In this paper, we investigate the evolutionary processes of hypersurfaces within half of the -dimensional light-cone. Depending on the evolutionary processes, our focus exte…
math.DG2025
Equi-centro-affine extremal hypersurfaces in ellipsoid
Yun Yang, Changzheng Qu
This paper explores equi-centro-affine extremal hypersurfaces in an ellipsoid. By analyzing the evolution of invariant submanifold flows under centro-affine unimodular transformati…
math.DG2024
An eternal hypersurface flow arising in centro-affine geometry
Xinjie Jiang, Changzheng Qu, Yun Yang
In this paper, the existence and uniqueness for a specific centro-affine invariant hypersurface flow in are studied, and the corresponding evolutionary processes in both…