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arXiv · 0708.0529

The supremum of conformally covariant eigenvalues in a conformal class

Bernd Ammann·Pierre Jammes
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Abstract

Let (M,g) be a compact Riemannian manifold of dimension >2. We show that there is a metric h conformal to g and of volume 1 such that the first positive eigenvalue the conformal Laplacian with repect to h is arbitrarily large. A similar statement is proven for the first positive eigenvalue of the Dirac operator on a spin manifold of dimension >1.

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Bernd Ammann, Pierre Jammes. 2015-10-27. The supremum of conformally covariant eigenvalues in a conformal class. https://doi.org/10.1017/cbo9780511863219.002

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