14 citations · 30 across the 7 of their papers we have counts for
7 papers
A combinatorial curvature flow in spherical background geometry
Huabin Ge, Bobo Hua, Puchun Zhou
In [12], the existence of ideal circle patterns in Euclidean or hyperbolic background geometry under the combinatorial conditions was proved using flow approaches. It remains as an…
-regularity for shrinking Ricci solitons and Ricci flows
Huabin Ge, Wenshuai Jiang
In [Cheeger-Tian 2005], Cheeger-Tian proved an -regularity theorem for -dimensional Einstein manifolds without volume assumption. They conjectured that similar results should…
A p-th Yamabe equations on graph
Huabin Ge
Assume . Consider the following -th Yamabe equation on a connected finite graph : where is the discrete -Laplacian, and $…
p-th Kazdan-Warner equation on graph
Huabin Ge
Let be a connected finite graph and be the set of functions defined on . Let be the discrete -Laplacian on with and , where $k\in C(…
Liouville-type theorems on the complete gradient shrinking Ricci solitons
Huabin Ge, Shijin Zhang
We prove that there does not exist non-constant positive -harmonic function on the complete gradient shrinking Ricci solitons. We also prove the $L^{p}(p\geq 1 \ {\rm or}\ 0<p\l…
-curvatures and -flows on low dimensional triangulated manifolds
Huabin Ge, Xu Xu
In this paper, we introduce two discrete curvature flows, which are called -flows on two and three dimensional triangulated manifolds. For triangulated surface , we introduce…