28 citations · 94 across the 23 of their papers we have counts for
16 papers · 1 filter
Internal symmetry of the algebra arising from a Lie pair
Dadi Ni, Jiahao Cheng, Zhuo Chen +1
A Lie pair is an inclusion to of Lie algebroids over the same base manifold. In an earlier work, the third author with Bandiera, Stiénon, and Xu introduced a canonical $L_{…
Fundamental Gap of Convex Domains in the Spheres (with Appendix B by Qi S. Zhang)
Chenxu He, Guofang Wei
In [SWW], S. Seto, L. Wang and G. Wei proved that the gap between the first two Dirichlet eigenvalues of a convex domain in the unit sphere is at least as large as that for an asso…
Fake -projective spaces with cohomogeneity one actions
Chenxu He, Priyanka Rajan
We show that some embedded standard -spheres in Shimada's exotic -spheres have quotient spaces, s, that are fake real -dimensional projective spa…
Martin compactification of a complete surface with negative curvature
Huai-Dong Cao, Chenxu He
In this paper we consider the Martin compactification, associated with the operator , of a complete non-compact surface with negative curvature. In…
Infinitesimal rigidity of collapsed gradient steady Ricci solitons in dimension three
Huai-Dong Cao, Chenxu He
The only known example of collapsed three-dimensional complete gradient steady Ricci solitons so far is the 3D cigar soliton , the product of Hamilton's cigar…
Linear stability of Perelman's -entropy on symmetric spaces of compact type
Huai-Dong Cao, Chenxu He
Following Cao-Hamilton-Ilmanen, in this paper we study the linear stability of Perelman's -entropy on Einstein manifolds with positive Ricci curvature. We observe the equivalenc…