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  • International Electronic Journal of Geometry
  • Volume:17 Issue:1
  • Lichnerowicz Type Estimate for the $p$-Laplacian Under Weighted Integral Curvature Bounds

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

Authors : Shoo Seto
Pages : 245-251
Doi:10.36890/iejg.1436665
View : 81 | Download : 65
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

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