Ling Xiao

collaborators

Showing math.DGShow all

2 papers · 1 filter

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 $S := i = 1 \sum 4 λ_{i}^{2}$ and $A_{3} := i = 1 \sum 4 λ_{i}^{3}$ whose…

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 $A_{3}$