arXiv subjects

Xu-an Zhao

Publications and source records attributed to Xu-an Zhao.

2 recordsLinked to original sources

arXiv2021

General affine differential geometry of surfaces in affine space $A^3$, I: the elliptical case

In this paper we study the general affine differential geometry of surfaces in affine space $A^3$. For a regular elliptical surface we define a moving frame of minimal order and get the complete system of differential invariants. As an application we classify regular elliptical surfaces of constant curvatures up to affine congruence.

math.DG↗

arXiv2018

The rational cohomology Hopf algebra of a generic Kac-Moody group

In this paper we determine the rational homotopy type of the classifying space of a generic Kac-Moody group by computing its rational cohomology ring. As an application we determine the rational homology Hopf algebra of the generic Kac-Moody group.

math.AT↗