30 citations · 143 across the 34 of their papers we have counts for
36 papers
Kähler--Ricci Shrinkers with Constant Scalar Curvature Are Rigid
Wenqi Li, Jianyu Ou, Guoqiang Wu +1
Let be a complete gradient Kähler--Ricci shrinker satisfying \[ \operatorname{Ric}+\nabla^2 f=\frac12 g. \] We prove that if the scalar curvature is constant, then…
Powers of generalized gamma convolutions
Min Wang, Sheng Yin
In 2015, Bondesson showed that Thorin's class of generalized gamma convolutions (GGCs) has the remarkable property of being closed under multiplication of independent random variab…
Divergence Identity for the scalar curvature and Rigidity of Codazzi Tensors
Xu Cheng, Andrés Lipa, Detang Zhou
We introduce a local vector field on an -dimensional Riemannian manifold, defined as the sum of the covariant derivatives of a local orthonormal frame, and derive an explicit id…
On Euler characteristic and Hitchin-Thorpe inequality for four-dimensional compact Ricci solitons
Xu Cheng, Ernani Ribeiro, Detang Zhou
In this article, we investigate the geometry of -dimensional compact gradient Ricci solitons. We prove that, under an upper bound condition on the range of the potential functio…
Hopf type theorems in Riemannian manifolds
Hilário Alencar, Gregório Silva Neto, Detang Zhou
In 1951, H. Hopf proved that the only surfaces, homeomorphic to the sphere, with constant mean curvature in the Euclidean space are the round (geometrical) spheres. In this paper w…
Rigidity of four-dimensional Gradient shrinking Ricci solitons
Xu Cheng, Detang Zhou
Let be a -dimensional complete noncompact gradient shrinking Ricci soliton with the equation , where is a positive real number. We prove that i…