8 papers
Topological Characterizations of Geometrically Infinite Convergence Group Actions and Orbit Uniform Metrics
Chaodong Yang
Two characterizations of geometric finiteness in terms of weaker conditions are known for actions on Gromov hyperbolic spaces. In this paper, we establish analogous characterizatio…
Two Characterizations of Geometrically Infinite Actions on Gromov Hyperbolic Spaces
Chaodong Yang, Wenyuan Yang
We provide two new characterizations of geometrically infinite actions on Gromov hyperbolic spaces: one in terms of the existence of escaping geodesics, and the other via the prese…
Cofiniteness for Twisted Fusion Products in Vertex Operator Algebra Theory
Chao Yang, Yiyi Zhu
Let be a vertex operator algebra equipped with two commuting finite-order automorphisms and , and set . For , let be a -twiste…
Y(z)-injective vertex superalgebras and Hopf actions
Chao Yang
This paper investigates Y(z)-injective vertex superalgebras. We first establish that two fundamental classes of vertex superalgebras -- simple ones and those admitting a PBW basis…
λ-Biharmonic hypersurfaces in the product space L^{m}\times \mathbb{R}
Chao Yang, Zhen Zhao
In this paper, we study λ-biharmonic hypersurfaces in the product space L^{m}\times\mathbb{R}, where L^{m} is an Einstein space and \mathbb{R} is a real line. We prove that λ-bihar…
PMCV hypersurfaces in non-flat pseudo-Riemannian space forms
Chao Yang, Jiancheng Liu, Li Du
In this paper, we prove that PMCV (i.e. Δ\vec{H} is proportional to \vec{H}) hypersurface M^n_r of a non-flat pseudo-Riemannian space form N^{n+1}_s(c) with at most two distinct pr…
Four dimensional hypersurfaces with proper mean curvature vector field in pseudo-Riemannian space forms
Chao Yang, Jiancheng Liu, Li Du
In this paper, we study four dimensional hypersurface M^4_r with proper mean curvature vector field (i.e. Δ\vec{H} is proportional to \vec{H}) in pseudo-Riemannian space form N^5_s…
Endomorphism property of vertex operator algebras over arbitrary fields
Chao Yang, Jianqi Liu
In this paper, we study the endomorphism properties of vertex operator algebras over an arbitrary field , with . Let be a strongly f…