10 citations · 10 across the 4 of their papers we have counts for
7 papers · 1 filter
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…
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…
Equivalence of Strong Brunn-Minkowski Inequalities and CD Conditions in Heisenberg Groups
Juan Zhang, Peibiao Zhao
The present paper investigates the sub-Riemannian version of the equivalence between the curvature-dimension conditions and strong Brunn-Minkowski inequalities in the sub-Riemannia…
The Lp Minkowski problem for q-torsional rigidity
Bin Chen, Xia Zhao, Weidong Wang +1
In this paper, we introduce the so-called -torsional measure for and by establishing the variational formula for the -torsional rigidity of…
On semi-Quasi-Einstein Manifold
Yanling Han, Avik De, Peibiao Zhao
In the present paper we introduce a semi-quasi-Einstein manifold from a semi symmetric metric connection. Among others, the popular Schwarzschild and Kottler spacetimes are shown t…
On the finiteness of the Morse index of self-shrinkers
Xu-Yong Jiang, He-Jun Sun, Peibiao Zhao
In this paper, we present a sufficient condition for finite Morse index of complete properly self-shrinkers. We prove that a complete properly embedded self-shrinker in $\mathbb{R}…