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arXiv · 2003.13613

Bounding the invariant spectrum when the scalar curvature is non-negative

Stuart James Hall·Thomas Murphy
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Abstract

On compact Riemannian manifolds with a large isometry group we investigate the invariant spectrum of the ordinary Laplacian. For either a toric Kaehler metric, or a rotationally-symmetric metric on the sphere, we produce upper bounds for all eigenvalues of the invariant spectrum assuming non-negative scalar curvature.

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Stuart James Hall, Thomas Murphy. 2020-03-30. Bounding the invariant spectrum when the scalar curvature is non-negative. https://arxiv.org/abs/2003.13613

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