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• W2964310317 abstract "We show that any generalized smooth distribution on a smooth manifold, possibly of non-constant rank, admits a Riemannian metric. Using such a metric, we attach a Laplace operator to any smooth distribution as such. When the underlying manifold is compact, we show that it is essentially self-adjoint. Viewing this Laplacian in the longitudinal pseudodifferential calculus of the smallest singular foliation which includes the distribution, we prove hypoellipticity." @default.
• W2964310317 created "2019-07-30" @default.
• W2964310317 creator A5044012686 @default.
• W2964310317 creator A5076388853 @default.
• W2964310317 date "2019-06-20" @default.
• W2964310317 modified "2023-09-28" @default.
• W2964310317 title "Riemannian metrics and Laplacians for generalized smooth distributions" @default.
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• W2964310317 doi "https://doi.org/10.1142/s1793525320500168" @default.
• W2964310317 hasPublicationYear "2019" @default.
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