Ling Xiao

collaborators

4 papers

math.AP2025

Super Log-concavity of the First Eigenfunctions for Horo-convex Domains in Hyperbolic Space

Guofang Wei, Ling Xiao

In this paper, we prove that the first eigenfunction of the Laplacian for a horo-convex domain $I^c ◯ \subset H^{n}$ is super log-concave when $diam (I^c ◯)$ is not large. Our…

math.AP2025

Exterior Dirichlet problem for Hessian equations on a non-convex ring

Yanyan Li, Ling Xiao

In this paper, we prove the existence of a solution for the exterior Dirichlet problem for Hessian equations on a non-convex ring. Moreover, the solution we obtained is smooth. Thi…

math.DG2025

An isoperimetric type inequality in De Sitter space

Ling Xiao

In this paper, we prove an optimal isoperimetric inequality for spacelike, compact, star-shaped, and $2$ -convex hypersurfaces in de Sitter space.

math.DG2025

Closed minimal hypersurfaces in $S^{5}$ with constant $S$ and $A_{3}$

Joel Spruck, Ling Xiao

In this paper, we prove that a closed minimally immersed hypersurface $M^{4} \subset S^{5}$ with constant $S := i = 1 \sum 4 I^»_{i}^{2}$ and $A_{3} := i = 1 \sum 4 I^»_{i}^{3}$ whos…

Super Log-concavity of the First Eigenfunctions for Horo-convex Domains in Hyperbolic Space

Exterior Dirichlet problem for Hessian equations on a non-convex ring

An isoperimetric type inequality in De Sitter space

Closed minimal hypersurfaces in S5 with constant S and A3​

Closed minimal hypersurfaces in $S^{5}$ with constant $S$ and $A_{3}$