6 citations · 14 across the 11 of their papers we have counts for
12 papers
The (local) geometry of oscillatory integrals on manifolds: Dimension three
Song Dai, Liuwei Gong, Shaoming Guo
Sogge studied Kakeya problems on two extreme types of three dimensional Riemannian manifolds: Manifolds with the most symmetries (manifolds of constant sectional curvature) and man…
Harmonic metrics of generically regular nilpotent Higgs bundles over non-compact surfaces
Song Dai, Qiongling Li
A rank Higgs bundle is called generically regular nilpotent if but . We show that for a generically regular nilpotent Higgs bundle, if it admits…
Oscillatory integral operators on manifolds and related Kakeya and Nikodym problems
Song Dai, Liuwei Gong, Shaoming Guo +1
We consider Carleson-Sjölin operators on Riemannian manifolds that arise naturally from the study of Bochner-Riesz problems on manifolds. They are special cases of Hörmander-type o…
Rigidity of the Delaunay triangulations of the plane
Song Dai, Tianqi Wu
We proved a rigidity result for Delaunay triangulations of the plane under Luo's discrete conformal change, extending previous results on hexagonal triangulations. Our result is a…
Bounded differentials on unit disk and the associated geometry
Song Dai, Qiongling Li
For a harmonic diffeomorphism between the Poincaré disks, Wan showed the equivalence between the boundedness of the Hopf differential and the quasi-conformality. In this paper, we…
A Remark on the Rigidity of Delaunay Triangulated Plane
Song Dai
In \cite{Wu22}, under the uniformly acute condition, Wu showed the rigidity of the geodesic triangulated plane under Luo's discrete conformality. In this article, by modifying Wu's…