Hassannezhad, A, Kokarev, G and Polterovich, I (2016) Eigenvalue inequalities on Riemannian manifolds with a lower Ricci curvature bound. Journal of Spectral Theory, 6 (4). pp. 807-835. ISSN 1664-039X
Abstract
We revisit classical eigenvalue inequalities due to Buser, Cheng, and Gromov on closed Riemannian manifolds, and prove the versions of these results for the Dirichlet and Neumann boundary value problems. Eigenvalue multiplicity bounds and related open problems are also discussed.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2016 EMS Publishing House. This is an author produced version of a paper accepted for publication in Journal of Spectral Theory. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | math.DG; math.DG; math.SP |
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: | 19 May 2016 10:48 |
Last Modified: | 19 Jan 2017 20:31 |
Published Version: | https://doi.org/10.4171/JST/143 |
Status: | Published |
Publisher: | European Mathematical Society |
Identification Number: | 10.4171/JST/143 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:99903 |