Lichnerowicz Type Estimate for the $p$-Laplacian Under Weighted Integral Curvature Bounds

Authors : Shoo Seto

Pages : 245-251

Doi:10.36890/iejg.1436665

View : 42 | Download : 61

Publication Date : 2024-04-23

Article Type : Research Paper

Abstract :In this short note, we prove a quantitative lower bound in terms of the dimension and curvature, known as a Lichnerowicz-type estimate, for the first eigenvalue of the p-Laplacian on Riemannian manifolds with a bound on the integral norm of the Bakry-Émery curvature.
Keywords : p Laplacian, Bakry Emery curvature, integral curvature