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@article{DeNicola2015,
abstract = {In this paper we prove a useful formula for the graded commutator of the Hodge codifferential with the left wedge multiplication by a fixed {\$}p{\$}-form acting on the de Rham algebra of a Riemannian manifold. Our formula generalizes a formula stated by Samuel I. Goldberg for the case of 1-forms. As first examples of application we obtain new identities on locally conformally Kaehler manifolds and quasi-Sasakian manifolds. Moreover, we prove that under suitable conditions a certain subalgebra of differential forms in a compact manifold is quasi-isomorphic as a CDGA to the full de Rham algebra.},
archivePrefix = {arXiv},
arxivId = {1503.08740},
author = {{De Nicola}, Antonio and Yudin, Ivan},
doi = {10.4153/CMB-2016-007-4},
eprint = {1503.08740},
month = {mar},
title = {{Generalized Goldberg Formula}},
url = {https://arxiv.org/pdf/1503.08740.pdf http://arxiv.org/abs/1503.08740 http://dx.doi.org/10.4153/CMB-2016-007-4},
year = {2015}
}