Year: 2025
Type: preprint
Abstract: Let $M$ be a manifold with nonpositive sectional curvature and bounded geometry, and let $Σ$ be a uniformly embedded submanifold of $M.$ We estimate the $L^2(M)\to L^q(Σ)$ norm of a $\log$-scale spectral projection operator. It is a generalization of result of X. Chen to noncompact cases. We also prove sharp spectral projection estimates of spectral windows of any small size restricted to nontrapped geodesics on even asymptotically hyperbolic surfaces with bounded geometry and curvature pinched below 0.
Source: arXiv (Cornell University)
Author: Zhang, Zhexing
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7104009645
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