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math.DG2026

Strichartz and Spectral Projection Estimates on Asymptotically Conic Manifolds

Zhexing Zhang

We prove the lossless unit interval Strichartz theorem on asymptotically conic surfaces, assuming that a large enough neighborhood of its trapped set has negative curvature. We als…

math.DG2025

Spectral and Schrödinger estimates restricted to submanifolds

Zhexing Zhang

Let be a complete Riemannian manifold with nonpositive sectional curvature and smooth bounded geometry. We prove logarithmic spectral projection estimates restricted to uniform…