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math.CA2026
Restriction estimates for surfaces with negative curvature in
Shaoming Guo, Diankun Liu, Yakun Xi
In , we prove that restriction estimates associated with smooth surfaces with negative Gaussian curvature hold for all and $q'<\frac{p…
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…