First eigenvalue of the p-Laplacian on K\"ahler manifolds
Abstract
We prove a Lichnerowicz type lower bound for the first nontrivial eigenvalue of the p-Laplacian on K\"ahler manifolds. Parallel to the p = 2 case, the first eigenvalue lower bound is improved by using a decomposition of the Hessian on K\"ahler manifolds with positive Ricci curvature.
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