Kokarev, G (2020) Bounds for Laplace eigenvalues of Kähler metrics. Advances in Mathematics, 365. 107061. ISSN 0001-8708
Abstract
We prove inequalities for Laplace eigenvalues of Kähler manifolds generalising to higher eigenvalues the classical inequality for the first Laplace eigenvalue due to Bourguignon, Li, and Yau in 1994. We also obtain similar eigenvalue inequalities for analytic varieties in Kähler manifolds.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2020 Elsevier Inc. This is an author produced version of a paper published in Advances in Mathematics. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Laplace eigenvalues; Kähler metric; Projective manifold; Analytic variety |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 18 Feb 2020 13:45 |
Last Modified: | 18 Feb 2021 01:38 |
Status: | Published |
Publisher: | Elsevier |
Identification Number: | 10.1016/j.aim.2020.107061 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:157250 |