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• W2895095849 abstract "We show for a certain class of operators $A$ and holomorphic functions $f$ that the functional calculus $Amapsto f(A)$ is holomorphic. Using this result we are able to prove that fractional Laplacians $(1+Delta^g)^p$ depend real analytically on the metric $g$ in suitable Sobolev topologies. As an application we obtain local well-posedness of the geodesic equation for fractional Sobolev metrics on the space of all Riemannian metrics." @default.
• W2895095849 created "2018-10-12" @default.
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• W2895095849 date "2018-10-07" @default.
• W2895095849 modified "2023-09-27" @default.
• W2895095849 title "Smooth perturbations of the functional calculus and applications to Riemannian geometry on spaces of metrics" @default.
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• W2895095849 doi "https://doi.org/10.14288/1.0379393" @default.
• W2895095849 hasPublicationYear "2018" @default.
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