3 papers
math.DG2023
New monotonicity for -capacitary functions in -manifolds with nonnegative scalar curvature
Chao Xia, Jiabin Yin, Xingjian Zhou
In this paper, we derive general monotone quantities and geometric inequalities associated with -capacitary functions in asymptotically flat -manifolds with simple topology a…
math.RT2022
Pre--angulated categories
Jing He, Panyue Zhou, Xingjia Zhou
In this article, we introduce the notion of pre--angulated categories as higher dimensional analogues of pre-triangulated categories defined by Beligiannis-Reiten. We first…
math.RT2019
Modules of infinite projective dimension
Panyue Zhou, Xingjia Zhou
We characterize the modules of infinite projective dimension over the endomorphism algebras of Opperman-Thomas cluster tilting objects in -angulated categories $(\mathca…