10 citations · 16 across the 14 of their papers we have counts for
14 papers
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…
An inverse Gauss curvature flow and its application to p-capacitary Orlicz-Minkowski problem
Bin Chen, Weidong Wang, Xia Zhao +1
In [Calc. Var., 57:5 (2018)], Hong-Ye-Zhang proposed the -capacitary Orlicz-Minkowski problem and proved the existence of convex solutions to this problem by variational method…
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…
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…
A Gauss curvature flow related to the Orlicz-Aleksandrov problem
Bin Chen, Peibiao Zhao
In this paper we first obtain the existence of smooth solutions to Orlicz-Aleksandrov problem via a Gauss-like curvature flow.
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}…
Sufficient conditions for a pseudosymmetric spacetime to be a perfect fluid spacetime
Peibiao Zhao, Uday Chand De, Bülent Ünal +1
The aim of the present paper is to obtain the condition under which a pseudosymmetric spacetime to be a perfect fluid spacetime. It is proven that a pseudosymmetric generalized Rob…
The Minkowski problem based on the (p,q)-mixed quermassintegrals
Bin Chen, Weidong Wang, Peibiao Zhao
Lutwak, Yang and Zhang [23] introduced the concept of Lp dual curvature measure for convex bodies and star bodies, and studied the Minkowski problem. We in this paper establish a n…
On a type of semi-sub-Riemannian connection on a sub-Riemannian manifold
Yanling Han, Peibiao Zhao
The authors first in this paper define a semi-symmetric metric non-holonomic connection (called in briefly a semi-sub-Riemannian connection) on sub-Riemannian manifolds, and study…
On SNS-Riemannian connections in sub-Riemannian manifolds
Yanling Han, Peibiao Zhao
The authors define a SNS (semi-nearly-sub)-Riemannian connection on nearly sub-Riemannian manifolds and study the geometric properties of such a connection, and obtain the natures…