3 citations · 5 across the 6 of their papers we have counts for
4 papers · 1 filter
Horizontal inverse mean curvature flow in the Heisenberg group
Jingshi Cui, Peibiao Zhao
Huisken and Ilmanen [J. Differential Geom., 2001] created the theory of weak solutions for inverse mean curvature flows (IMCF) of hypersurfaces on Riemannian manifolds, and proved…
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…
Locally constrained flows and sharp Michael-Simon inequalities in hyperbolic space
Jingshi Cui, Peibiao Zhao
Brendle [6] successfully establishes the sharp Michael-Simon inequality for mean curvature on Riemannian manifolds with nonnegative sectional curvature (), and…
An expanding curvature flow and the (p,q)-Christoffel-Minkowski problems
Bin Chen, Jingshi Cui, Peibiao Zhao
The present paper introduces a new class of geometric measures, the k-th (p,q)-mixed curvature measures, and a natural correspondence-(p,q)-Christoffel-Minkowski problem is propose…