4 papers
math.GT2026
Translation Surfaces arising from Right Regular Prisms
Xun Gong, Zuo Lin, Anthony Sanchez
We study flat metrics arising from right regular -prisms by viewing them as -differentials and analyzing their associated unfoldings. We show that the unfolding of a right re…
math.DS2026
Polynomially effective equidistribution for certain unipotent subgroups in quotients of perfect Lie groups
Zuo Lin
We prove an effective equidistribution theorem for orbits of certain unipotent subgroups in arithmetic quotients of perfect Lie groups with a polynomial error term. Even for semisi…
math.DS2025
Quadratic forms of signature or I: effective equidistribution in quotients of
Zuo Lin
We prove an effective equidistribution theorem for orbits of horospherical subgroups of and in quotients of with…
math.DG2025
A total curvature estimate of closed hypersurfaces in non-positively curved symmetric spaces
Jiangtao Li, Zuo Lin, Liang Xu
In this paper, we prove a total curvature estimate of closed hypersurfaces in simply-connected non-positively curved symmetric spaces, and as a corollary, we obtain an isoperimetri…