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arXiv · 1608.06829

Extremal metrics for Laplace eigenvalues in perturbed conformal classes

Henrik Matthiesen
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Abstract

We prove that in many cases the existence of an extremal metric for some Laplace eigenvalue in a conformal class allows to find extremal metrics in conformal classes close by. As a consequence and as part of the arguments we obtain perturbed harmonic maps with constant density.

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Henrik Matthiesen. 2016-08-24. Extremal metrics for Laplace eigenvalues in perturbed conformal classes. https://arxiv.org/abs/1608.06829

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