{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,15]],"date-time":"2026-03-15T02:09:03Z","timestamp":1773540543625,"version":"3.50.1"},"reference-count":7,"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":[[2014,10]]},"abstract":"<jats:p> In this paper, the geometric approach to the virial theorem (VT) developed in [J. F. Cari\u00f1ena, F. Falceto and M. F. Ra\u00f1ada, A geometric approach to a generalized virial theorem, J. Phys. A: Math. Theor.\u00a045 (2012) 395210, 19 pp.] is written in terms of quasi-velocities (see [J. F. Cari\u00f1ena, J. Nunes da Costa and P. Santos, Quasi-coordinates from the point of view of Lie algebroid structures, J. Phys. A: Math. Theor.\u00a040 (2007) 10031\u201310048]). A generalization of the VT for mechanical systems on Lie algebroids is also given, using the geometric tools of Lagrangian and Hamiltonian mechanics on the prolongation of the Lie algebroid. <\/jats:p>","DOI":"10.1142\/s0219887814500558","type":"journal-article","created":{"date-parts":[[2014,3,12]],"date-time":"2014-03-12T09:05:34Z","timestamp":1394615134000},"page":"1450055","source":"Crossref","is-referenced-by-count":5,"title":["Virial theorem in quasi-coordinates and Lie algebroid formalism"],"prefix":"10.1142","volume":"11","author":[{"given":"Jos\u00e9 F.","family":"Cari\u00f1ena","sequence":"first","affiliation":[{"name":"IUMA and Department of Theoretical Physics, University of Zaragoza, Zaragoza, Spain"}]},{"given":"Irina","family":"Gheorghiu","sequence":"additional","affiliation":[{"name":"Department of Theoretical Physics, University of Zaragoza, Zaragoza, Spain"}]},{"given":"Eduardo","family":"Mart\u00ednez","sequence":"additional","affiliation":[{"name":"IUMA and Department of Applied Mathematics, University of Zaragoza, Zaragoza, Spain"}]},{"given":"Patr\u00edcia","family":"Santos","sequence":"additional","affiliation":[{"name":"CMUC, University of Coimbra, Coimbra, Portugal"},{"name":"Polytechnic Institute of Coimbra, ISEC, Coimbra, Portugal"}]}],"member":"219","published-online":{"date-parts":[[2014,10,20]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8113\/45\/39\/395210"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8113\/40\/33\/008"},{"key":"rf3","series-title":"Astronomy and Astrophysics Series","volume-title":"The Virial Theorem in Stellar Astrophysics","volume":"7","author":"Collins G. W.","year":"1978"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8113\/44\/36\/365306"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1007\/BF02486832"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1088\/0305-4470\/38\/24\/R01"},{"key":"rf7","doi-asserted-by":"publisher","DOI":"10.1023\/A:1011965919259"}],"container-title":["International Journal of Geometric Methods in Modern Physics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219887814500558","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T16:09:57Z","timestamp":1565107797000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0219887814500558"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,10]]},"references-count":7,"journal-issue":{"issue":"09","published-online":{"date-parts":[[2014,10,20]]},"published-print":{"date-parts":[[2014,10]]}},"alternative-id":["10.1142\/S0219887814500558"],"URL":"https:\/\/doi.org\/10.1142\/s0219887814500558","relation":{},"ISSN":["0219-8878","1793-6977"],"issn-type":[{"value":"0219-8878","type":"print"},{"value":"1793-6977","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,10]]}}}