Spectral projection estimates restricted to uniformly embedded submanifolds
Fuente:
arXiv
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866909885638115328 |
|---|---|
| author | Zhang, Zhexing |
| author_facet | Zhang, Zhexing |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_02012 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Spectral projection estimates restricted to uniformly embedded submanifolds Zhang, Zhexing Differential Geometry Analysis of PDEs Spectral Theory 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. |
| title | Spectral projection estimates restricted to uniformly embedded submanifolds |
| topic | Differential Geometry Analysis of PDEs Spectral Theory |
| url | https://arxiv.org/abs/2511.02012 |