Apostolov, V, Jakobson, D and Kokarev, G (2015) An extremal eigenvalue problem in Kähler geometry. Journal of Geometry and Physics, 91. pp. 108-116. ISSN 0393-0440
Abstract
We study Laplace eigenvalues λk on Kähler manifolds as functionals on the space of Kähler metrics with cohomologous Kähler forms. We introduce a natural notion of a λk-extremal Kähler metric and obtain necessary and sufficient conditions for it. A particular attention is paid to the λ1-extremal properties of Kähler–Einstein metrics of positive scalar curvature on manifolds with non-trivial holomorphic vector fields.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2015 Elsevier B.V. This is an author produced version of a paper published in Journal of Geometry and Physics. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Laplacian eigenvalues; Extremal metric; Kähler manifold; Kähler–Einstein manifold |
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 14:46 |
Last Modified: | 27 Jan 2018 12:21 |
Published Version: | http://dx.doi.org/10.1016/j.geomphys.2015.01.008 |
Status: | Published |
Publisher: | Elsevier |
Identification Number: | 10.1016/j.geomphys.2015.01.008 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:98566 |