Blar i Institutt for matematiske fag på tidsskrift "Annali di Matematica Pura ed Applicata"
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Vertical-horizontal decomposition of Laplacians and cohomologies of manifolds with trivial tangent bundles
(Journal article; Peer reviewed, 2019)In this paper, we obtain a vertical–horizontal decomposition formula of Laplacians on manifolds with a special foliation structure. Two Nomizu-type theorems for cohomologies of nilmanifolds follow as applications.