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.

Vertical–horizontal decomposition of Laplacians and cohomologies of manifolds with trivial tangent bundles / Rollenske, S.; Tomassini, A.; Wang, X.. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 0373-3114. - (2020). [10.1007/s10231-019-00903-3]

Vertical–horizontal decomposition of Laplacians and cohomologies of manifolds with trivial tangent bundles

Tomassini A.
;
2020-01-01

Abstract

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.
Vertical–horizontal decomposition of Laplacians and cohomologies of manifolds with trivial tangent bundles / Rollenske, S.; Tomassini, A.; Wang, X.. - In: ANNALI DI MATEMATICA PURA ED APPLICATA. - ISSN 0373-3114. - (2020). [10.1007/s10231-019-00903-3]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11381/2870196
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