JournalsjstVol. 11, No. 3pp. 1279–1296

Existence of metrics maximizing the first eigenvalue on non-orientable surfaces

  • Henrik Matthiesen

    University of Chicago, USA; Max Planck Institute for Mathematics, Bonn, Germany

  • Anna Siffert

    Westfälische Wilhelms-Universität Münster, Germany
Existence of metrics maximizing the first eigenvalue on non-orientable surfaces cover
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Abstract

We prove the existence of metrics maximizing the first eigenvalue normalized by area on closed, non-orientable surfaces assuming two spectral gap conditions. These spectral gap conditions are proved by the authors in [21].

Cite this article

Henrik Matthiesen, Anna Siffert, Existence of metrics maximizing the first eigenvalue on non-orientable surfaces. J. Spectr. Theory 11 (2021), no. 3, pp. 1279–1296

DOI 10.4171/JST/372