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Explicit lower
bound of the first eigenvalue of the Laplacian on Kähler
manifolds
Benjamin Rutkowski and Shoo Seto |
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Vol. 16 (2023), No. 3, 519–527
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Abstract |
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We establish an explicit lower bound of the first eigenvalue of the Laplacian on Kähler manifolds based off the comparison results of Li and Wang (Trans. Amer. Math. Soc. 374:11 (2021), 8081–8099). The lower bound will depend on the diameter, dimension, holomorphic sectional curvature and orthogonal Ricci curvature. |
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Keywords
Laplacian, eigenvalue, Kähler manifolds
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Mathematical Subject Classification
Primary: 34L15, 53C55, 58C40
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Milestones
Received: 27 June 2022
Accepted: 21 July 2022
Published: 10 August 2023
Communicated by Frank Morgan
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Authors |
| Benjamin Rutkowski | |
| Department of Mathematics California State University Fullerton, CA United States |
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| Shoo Seto | |
| Department of Mathematics California State University Fullerton, CA United States |
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| © 2023 MSP (Mathematical Sciences Publishers). |
