Analysis Seminar

Logarithmic Improved Eigenfunction Restriction Estimates for Curves with Nonvanishing Geodesic Curvatures

Chamsol Park, University of New Mexico

Friday, March 18th, 2022
1:00 PM - 2:00 PM
Zoom ID 959 3030 2160

There have been many studies for eigenfunctions of the Laplace-Beltrami operator on smooth compact Riemannian manifolds without boundary. One of the ways to study the eigenfunctions is to consider the growth of Lp norms of restriction of the eigenfunctions to submanifolds. If the submanifolds are curves, Burq, Gerard, and Tzvetkov, and Hu already showed that we get better estimates when the curves have nonvanishing geodesic curvatures. In this talk, we will discuss that we can slightly improve the better estimates if we assume nonpositive sectional curvatures in the given manifolds.

Event contact: dan dot geba at rochester dot edu