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- W2023808101 abstract "In this note, we study some conformal invariants of a Riemannian manifold (M(n), g) equipped with a smooth measure m. In particular, we show that there is a natural definition of the Ricci and scalar curvatures associated to such a space, both of which are conformally invariant. We also adapt the methods of Fefferman and Graham [Fefferman, C. & Graham, C. R. (1985) Astérisque, Numero Hors Serie, 95-116] and Graham, Jenne, Mason, and Sparling [Graham, C. R., Jenne, R., Mason, L. J., & Sparling, G. A. J. (1992) J. London Math. Soc. 46, 557-565] to construct families of conformally covariant operators defined on these spaces. Certain variational problems in this setting are considered, including a generalization of the Einstein-Hilbert action." @default.
- W2023808101 created "2016-06-24" @default.
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- W2023808101 date "2006-02-10" @default.
- W2023808101 modified "2023-09-23" @default.
- W2023808101 title "Conformal invariants associated to a measure" @default.
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- W2023808101 doi "https://doi.org/10.1073/pnas.0510814103" @default.
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