4 papers · 1 filter
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…
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…
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…
Flow by Gauss Curvature to the orlicz Chord Minkowski Problem
Xia Zhao, Peibiao Zhao
The chord Minkowski problem based on Chord measures and chord measures introduced firstly by Lutwak, Xi, Yang and Zhang [38] is a very important and meaningful geometri…