{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,20]],"date-time":"2025-09-20T20:42:27Z","timestamp":1758400947873},"reference-count":6,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2011,8,25]],"date-time":"2011-08-25T00:00:00Z","timestamp":1314230400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Commun. Math. Phys."],"published-print":{"date-parts":[[2011,11]]},"DOI":"10.1007\/s00220-011-1321-y","type":"journal-article","created":{"date-parts":[[2011,8,23]],"date-time":"2011-08-23T22:47:39Z","timestamp":1314139659000},"page":"133-146","source":"Crossref","is-referenced-by-count":17,"title":["Invariant Algebraic Surfaces for Generalized Raychaudhuri Equations"],"prefix":"10.1007","volume":"308","author":[{"given":"Claudia","family":"Valls","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2011,8,25]]},"reference":[{"key":"1321_CR1","first-page":"5","volume":"14","author":"C. Christopher","year":"2000","unstructured":"Christopher C., Llibre J.: Integrability via invariantalgebraic curves for planar polynomial differential systems. Ann. Diff. Eq. 14, 5\u201319 (2000)","journal-title":"Ann. Diff. Eq."},{"key":"1321_CR2","doi-asserted-by":"crossref","first-page":"645","DOI":"10.1142\/S0219887809003746","volume":"6","author":"A. Dasgupta","year":"2009","unstructured":"Dasgupta A., Nandan H., Kar S.: Kinematics of flows on curved, deformable media. Int. J. Geom. Meth. Mod. Phys. 6, 645\u2013666 (2009)","journal-title":"Int. J. Geom. Meth. Mod. Phys."},{"key":"1321_CR3","doi-asserted-by":"crossref","first-page":"102502","DOI":"10.1063\/1.3243455","volume":"50","author":"A. Ghose","year":"2009","unstructured":"Ghose A., Guha P., Khanra B.: Determination of elementaryfirst integrals of a generalized Raychaudhuri equation by the Darboux integrability method. J. Math. Phys. 50, 102502 (2009)","journal-title":"J. Math. Phys."},{"key":"1321_CR4","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1007\/s12043-007-0110-9","volume":"69","author":"S. Kar","year":"2009","unstructured":"Kar S., Sengupta S.: The Raychaudhuri equations: A briefreview. Pramana 69, 49\u201376 (2009)","journal-title":"Pramana"},{"key":"1321_CR5","unstructured":"Llibre, J.: Integrability of polynomial differential systems. In: Handbook of Differential Equations, Ordinary Differential Equations, Eds. A. Ca\u00f1ada, P. Drabek , A. Fonda, Amsterdam: Elsevier\/North Holland, 2009, pp. 437\u2013532"},{"key":"1321_CR6","doi-asserted-by":"crossref","first-page":"072901","DOI":"10.1063\/1.1955453","volume":"46","author":"J. Llibre","year":"2005","unstructured":"Llibre J., Valls C.: Integrability of the Bianchi IX system. J. Math. Phys. 46, 072901 (2005)","journal-title":"J. Math. Phys."}],"container-title":["Communications in Mathematical Physics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00220-011-1321-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00220-011-1321-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00220-011-1321-y","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,24]],"date-time":"2019-05-24T06:56:17Z","timestamp":1558680977000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00220-011-1321-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,8,25]]},"references-count":6,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2011,11]]}},"alternative-id":["1321"],"URL":"https:\/\/doi.org\/10.1007\/s00220-011-1321-y","relation":{},"ISSN":["0010-3616","1432-0916"],"issn-type":[{"value":"0010-3616","type":"print"},{"value":"1432-0916","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,8,25]]}}}