5 citations · 6 across the 7 of their papers we have counts for
4 papers · 1 filter
Spherical harmonics with maximal Lp norm growth
Xiaolong Han
In this paper, we show that for every p>2, there is a positive density subsequence of orthonormal spherical harmonics on the unit sphere Sn with n>=2 which achieves the maximal Lp…
Growth of Simple Closed Geodesics in closed Hyperbolic -Manifolds
Xiaolong Hans Han, Bohan Yang
Let be a closed hyperbolic -manifold. We prove that the number of primitive simple closed geodesics of length at most is as .
Asymptotically geodesic hypersurfaces and the fundamental groups of hyperbolic manifolds
Xiaolong Hans Han, Ruojing Jiang
We consider closed hypersurfaces smoothly immersed in hyperbolic manifolds up to homotopy and commensurability. We prove that if a closed hyperbolic manifold contains a sequenc…
Counting surface subgroups in cusped hyperbolic 3-manifolds
Xiaolong Hans Han, Zhenghao Rao, Jia Wan
Let be a finite-volume, noncompact hyperbolic 3-manifold. We show that the number of quasi-Fuchsian surface subgroups of (up to conjugacy and commensurabili…