Hassannezhad, A and Kokarev, G (2016) Sub-Laplacian eigenvalue bounds on sub-Riemannian manifolds. Annali della Scuola Normale - Classe di Scienze, XVI. pp. 1049-1092. ISSN 0391-173X
Abstract
We study eigenvalue problems for intrinsic sub-Laplacians on regular sub-Riemannian manifolds. We prove upper bounds for sub-Laplacian eigenvalues λk of conformal sub-Riemannian metrics that are asymptotically sharp as k→+∞. For Sasakian manifolds with a lower Ricci curvature bound, and more generally, for contact metric manifolds conformal to such Sasakian manifolds, we obtain eigenvalue inequalities that can be viewed as versions of the classical results by Korevaar and Buser in Riemannian geometry.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | This is an author produced version of a paper accepted for publication in Annali della Scuola Normale Superiore di Pisa: Classe di Scienze. 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: | 15 Aug 2016 11:56 |
Last Modified: | 14 Apr 2017 03:59 |
Published Version: | http://dx.doi.org/10.2422/2036-2145.201409_005 |
Status: | Published |
Publisher: | Scuola Normale Superiore |
Identification Number: | 10.2422/2036-2145.201409_005 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:98677 |