In order to detect formality of the DeRham algebra of a smooth manifold, we determine conditions that ensure that a general dδ-lemma holds; then, as an application of the previous constructions, we obtain a new characterization of Kähler structures.
Some Remarks on Nijenhuis Bracket, Formality, and Kaehler Manifolds / P. de Bartolomeis; S. V. Matveev. - In: ADVANCES IN GEOMETRY. - ISSN 1615-715X. - STAMPA. - 13:(2013), pp. 571-581. [10.1515/advgeom-2013-0007]
Some Remarks on Nijenhuis Bracket, Formality, and Kaehler Manifolds
DE BARTOLOMEIS, PAOLO;
2013
Abstract
In order to detect formality of the DeRham algebra of a smooth manifold, we determine conditions that ensure that a general dδ-lemma holds; then, as an application of the previous constructions, we obtain a new characterization of Kähler structures.
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