<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">Iakovos Androulidakis</style></author><author><style face="normal" font="default" size="100%">Yuri Kordyukov</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">Riemannian metrics and Laplacians for smooth generalised distributions</style></title><secondary-title><style face="normal" font="default" size="100%">Journal of Topology and Analysis</style></secondary-title></titles><dates><year><style  face="normal" font="default" size="100%">2021</style></year></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://doi.org/10.1142/S1793525320500168</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">13</style></volume><pages><style face="normal" font="default" size="100%">395-442</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;span&gt;We show that any generalised 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.&lt;/span&gt;</style></abstract><issue><style face="normal" font="default" size="100%">2</style></issue></record></records></xml>