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

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

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.