2 papers
math.CA2026
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…
math.DG2024
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 admi…