Kang Xiao

collaborators

2 papers

math.DG2026

The existence of $k$ -convex hypersurface for a class of Hessian curvature equations

Kang Xiao, Jiabao Gong

This article investigates the existence of closed, star-shaped hypersurfaces for a class of Hessian curvature equations. By combining a priori estimates with the continuity method,…

math.DG2020

Horo-convex hypersurfaces with prescribed shifted Gauss curvatures in $H^{n + 1}$

Li Chen, Kang Xiao, Qiang Tu

In this paper, we consider prescribed shifted Gauss curvature equations for horo-convex hypersurfaces in $H^{n + 1}$ . Under some sufficient condition, we obtain an existence…

The existence of k-convex hypersurface for a class of Hessian curvature equations

Horo-convex hypersurfaces with prescribed shifted Gauss curvatures in Hn+1

The existence of $k$ -convex hypersurface for a class of Hessian curvature equations

Horo-convex hypersurfaces with prescribed shifted Gauss curvatures in $H^{n + 1}$