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arXiv · 2011.03533

Spectra, rigidity and stability of sine-cones

Klaus Kroencke
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Abstract

We compute the spectra of the Laplace-Beltrami operator, the connection Laplacian on 1-forms and the Einstein operator on symmetric 2-tensors on the sine-cone over a positive Einstein manifold $(M, g)$. We conclude under which conditions on $(M,g)$, the sine-cone is dynamically stable under the singular Ricci-de Turck flow and rigid as a singular Einstein manifold

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Klaus Kroencke. 2020-11-06. Spectra, rigidity and stability of sine-cones. https://doi.org/10.1016/j.jfa.2021.109115

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