{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,30]],"date-time":"2022-03-30T07:10:56Z","timestamp":1648624256997},"reference-count":11,"publisher":"Canadian Mathematical Society","issue":"3","license":[{"start":{"date-parts":[[2018,11,20]],"date-time":"2018-11-20T00:00:00Z","timestamp":1542672000000},"content-version":"unspecified","delay-in-days":810,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Can. math. bull."],"published-print":{"date-parts":[[2016,9,1]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>In this paper we prove a useful formula for the graded commutator of the Hodge codifferential with the left wedge multiplication by a fixed <jats:italic>p<\/jats:italic>-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 K\u00e4hler 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.<\/jats:p>","DOI":"10.4153\/cmb-2016-007-4","type":"journal-article","created":{"date-parts":[[2016,1,11]],"date-time":"2016-01-11T21:41:04Z","timestamp":1452548464000},"page":"508-520","source":"Crossref","is-referenced-by-count":1,"title":["Generalized Goldberg Formula"],"prefix":"10.4153","volume":"59","author":[{"given":"Antonio","family":"De Nicola","sequence":"first","affiliation":[]},{"given":"Ivan","family":"Yudin","sequence":"additional","affiliation":[]}],"member":"2643","published-online":{"date-parts":[[2018,11,20]]},"reference":[{"key":"S0008439500022116_ref005","author":"Dragomir","year":"1998"},{"key":"S0008439500022116_ref011","doi-asserted-by":"publisher","DOI":"10.2748\/tmj\/1178240654"},{"key":"S0008439500022116_ref010","volume-title":"Pure and Applied Mathematics","author":"Goldberg","year":"1962"},{"key":"S0008439500022116_ref009","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9904-1960-10390-4"},{"key":"S0008439500022116_ref007","first-page":"540","article-title":"Some new cohomology invariants for complex manifolds. I. II.","volume":"18","author":"Fr\u00f6licher","year":"1956","journal-title":"Nederl.Akad.Wetensch. Proc. Ser. A. 59; Indag.Math."},{"key":"S0008439500022116_ref004","doi-asserted-by":"publisher","DOI":"10.1007\/BF01389853"},{"key":"S0008439500022116_ref003","doi-asserted-by":"publisher","DOI":"10.4310\/jdg\/1433975483"},{"key":"S0008439500022116_ref006","doi-asserted-by":"publisher","DOI":"10.1016\/S1385-7258(56)50046-7"},{"key":"S0008439500022116_ref008","doi-asserted-by":"publisher","DOI":"10.2748\/tmj\/1178243376"},{"key":"S0008439500022116_ref001","author":"Boyer","year":"2008"},{"key":"S0008439500022116_ref002","article-title":"A survey on cosymplectic geometry.","volume":"25","author":"Cappelletti-Montano","year":"2013"}],"container-title":["Canadian Mathematical Bulletin"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0008439500022116","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,4,19]],"date-time":"2019-04-19T00:12:46Z","timestamp":1555632766000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0008439500022116\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,9,1]]},"references-count":11,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2016,9,1]]}},"alternative-id":["S0008439500022116"],"URL":"https:\/\/doi.org\/10.4153\/cmb-2016-007-4","relation":{},"ISSN":["0008-4395","1496-4287"],"issn-type":[{"value":"0008-4395","type":"print"},{"value":"1496-4287","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,9,1]]}}}