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  Extremal metrics for Laplace eigenvalues in perturbed conformal classes on products

Matthiesen, H. (2019). Extremal metrics for Laplace eigenvalues in perturbed conformal classes on products. Journal of Geometric Analysis, 29(3), 2456-2468. doi:10.1007/s12220-018-0082-7.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0004-4055-4 Version Permalink: https://hdl.handle.net/21.11116/0000-0009-E1D8-5
Genre: Journal Article

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Matthiesen_Extremal Metrics For Laplace Eigenvalues_2019.pdf (Publisher version), 440KB
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Matthiesen_Extremal Metrics For Laplace Eigenvalues_2019.pdf
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This article is distributed under the terms of the Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
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https://doi.org/10.1007/s12220-018-0082-7 (Publisher version)
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 Creators:
Matthiesen, Henrik1, Author           
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1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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 Abstract: In this short note, we prove that conformal classes which are small perturbations of a
product conformal class on a product with a standard sphere admit a metric extremal
for some Laplace eigenvalue. As part of the arguments, we obtain perturbed harmonic
maps with constant density.

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Language(s): eng - English
 Dates: 2019
 Publication Status: Issued
 Pages: -
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 Table of Contents: -
 Rev. Type: Peer
 Identifiers: eDoc: 743167
DOI: 10.1007/s12220-018-0082-7
URI: https://doi.org/10.1007/s12220-018-0082-7
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Title: Journal of Geometric Analysis
  Alternative Title : J. Geom. Anal.
Source Genre: Journal
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Publ. Info: Springer
Pages: - Volume / Issue: 29 (3) Sequence Number: - Start / End Page: 2456 - 2468 Identifier: -