Vertical-horizontal decomposition of Laplacians and cohomologies of manifolds with trivial tangent bundles
Journal article, Peer reviewed
Accepted version
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Date
2019Metadata
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- Institutt for matematiske fag [2350]
- Publikasjoner fra CRIStin - NTNU [37177]
Original version
10.1007/s10231-019-00903-3Abstract
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.