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arXiv · 2207.10966

Explicit lower bound of the first eigenvalue of the Laplacian on K\"ahler manifolds

Benjamin Rutkowski·Shoo Seto
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Abstract

We establish an explicit lower bound of the first eigenvalue of the Laplacian on K\"ahler manifolds based off the comparison results of Li and Wang. The lower bound will depend on the diameter, dimension, holomorphic sectional curvature and orthogonal Ricci curvature.

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Benjamin Rutkowski, Shoo Seto. 2022-07-22. Explicit lower bound of the first eigenvalue of the Laplacian on K\"ahler manifolds. https://arxiv.org/abs/2207.10966

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