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math.DG2026
Existence of the classical solution to the fractional mean curvature flow with capillary-type boundary conditions
Linlin Fan, Peibiao Zhao
Wang, Weng and Xia[Math. Ann. 388 (2024), no. 2] studied a mean curvature type flow for the smooth, embedded capillary hypersurfaces with a constant contact angle and c…
math.DG2025
Legendrian curve flow in Sasakian sub-Riemannian 3-manifolds
Jingshi Cui, Peibiao Zhao
In this paper, we introduce a kind of inverse mean curvature flow (1.2) in a Sasakian sub-Riemannian 3-manifold for Legendrian curves, which slightly differs from the classical…
math.DG2022
Michael-Simon type inequalities in hyperbolic space via Brendle-Guan-Li's flows
Jingshi Cui, Peibiao Zhao
In the present paper, we first establish and verify a new sharp hyperbolic version of the Michael-Simon inequality for mean curvatures in hyperbolic space based…