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

Year 2024, , 245 - 251, 23.04.2024

Shoo Seto

https://doi.org/10.36890/iejg.1436665

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

Thanks

Thank you for your consideration

References

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