{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,6]],"date-time":"2025-08-06T12:36:26Z","timestamp":1754483786532},"reference-count":9,"publisher":"World Scientific Pub Co Pte Lt","issue":"09","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Geom. Methods Mod. Phys."],"published-print":{"date-parts":[[2015,10]]},"abstract":"<jats:p> We define covariant Lie derivatives acting on vector-valued forms on Lie algebroids and study their properties. This allows us to obtain a concise formula for the Fr\u00f6licher\u2013Nijenhuis bracket on Lie algebroids. <\/jats:p>","DOI":"10.1142\/s021988781560018x","type":"journal-article","created":{"date-parts":[[2015,7,15]],"date-time":"2015-07-15T22:32:05Z","timestamp":1436999525000},"page":"1560018","source":"Crossref","is-referenced-by-count":2,"title":["Covariant Lie derivatives and Fr\u00f6licher\u2013Nijenhuis bracket on Lie algebroids"],"prefix":"10.1142","volume":"12","author":[{"given":"Antonio","family":"De Nicola","sequence":"first","affiliation":[{"name":"CMUC, Department of Mathematics, University of Coimbra, 3001-501 Coimbra, Portugal"}]},{"given":"Ivan","family":"Yudin","sequence":"additional","affiliation":[{"name":"CMUC, Department of Mathematics, University of Coimbra, 3001-501 Coimbra, Portugal"}]}],"member":"219","published-online":{"date-parts":[[2015,10,9]]},"reference":[{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1016\/S1385-7258(56)50046-7"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1016\/S0034-4877(97)85916-2"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1016\/S1385-7258(55)50021-7"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-02950-3"},{"key":"rf6","first-page":"35","volume":"53","author":"Kosmann-Schwarzbach Y.","year":"1990","journal-title":"Ann. Inst. H. Poincar\u00e9 Phys. Th\u00e9or."},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1006\/aima.2001.2070"},{"key":"rf8","unstructured":"P. W.\u00a0Michor, Differential Geometry and Its Applications (Reidel, Dordrecht, 1987)\u00a0pp. 197\u2013220."},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.2307\/1970051"},{"key":"rf10","first-page":"317","volume":"32","author":"Nijenhuis A.","year":"1996","journal-title":"Arch. Math. (Brno)"}],"container-title":["International Journal of Geometric Methods in Modern Physics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S021988781560018X","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T21:36:58Z","timestamp":1565127418000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S021988781560018X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,10]]},"references-count":9,"journal-issue":{"issue":"09","published-online":{"date-parts":[[2015,10,9]]},"published-print":{"date-parts":[[2015,10]]}},"alternative-id":["10.1142\/S021988781560018X"],"URL":"https:\/\/doi.org\/10.1142\/s021988781560018x","relation":{},"ISSN":["0219-8878","1793-6977"],"issn-type":[{"value":"0219-8878","type":"print"},{"value":"1793-6977","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,10]]}}}