dc.contributor.editor | Carriazo Rubio, Alfonso | es |
dc.contributor.editor | Fuente Benito, Daniel de la | es |
dc.contributor.editor | Márquez García, María del Carmen | es |
dc.contributor.editor | Romero Sarabia, Alfonso | es |
dc.creator | Castro López, Ildefonso | es |
dc.creator | Lerma Fernández, Ana María | es |
dc.date.accessioned | 2018-05-03T07:40:49Z | |
dc.date.available | 2018-05-03T07:40:49Z | |
dc.date.issued | 2015 | |
dc.identifier.citation | Castro López, I., y Lerma Fernández, A.M. (2015). Lagrangian translators under mean curvature flow. En A. Carriazo Rubio, D.d.l. Fuente Benito, M.d.C. Márquez García, A. Romero Sarabia (Ed.), XI Encuentro Andaluz de Geometría (pp. 59-64). Granada: Godel | |
dc.identifier.isbn | 9788417293093 | es |
dc.identifier.uri | https://hdl.handle.net/11441/73899 | |
dc.description.abstract | We provide a new construction of Lagrangian surfaces in C2 in terms
of two planar curves. When we take such curves as appropriate solutions of the curve shortening problem, including self-shrinking and self-expanding curves or spirals, we will obtain translating solitons which generalize the Joyce, Lee and Tsui ones in dimension two D. Joyce, Y.-I. Lee, and M.-P. Tsui. Self-similar solutions and translating solitons for Lagrangian mean curvature flow. J. Differential Geom. 84 (2010), no. 1, 127-161. Finally, we characterize locally all examples in terms of an analytical condition on the Hermitian product of the position vector of the immersion and the translating vector that allows us separation of variables. As a consequence we get the classification of the Hamiltonian stationary Lagrangian translating solitons for Lagrangian mean curvature flow in complex Euclidean plane. This work is based in I. Castro and A. M. Lerma. Translating solitons for Lagrangian mean curvature flow in complex Euclidean plane. Internat. J. Math. 23 (2012), no. 10, 1250101-1-1250101-16. | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad | es |
dc.description.sponsorship | Fondo Europeo de Desarrollo Regional | es |
dc.description.sponsorship | Junta de Andalucía | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Godel | es |
dc.relation.ispartof | XI Encuentro Andaluz de Geometría | es |
dc.rights | Atribución-NoComercial-SinDerivadas 3.0 Estados Unidos de América | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Lagrangian surfaces | es |
dc.subject | Curves | es |
dc.title | Lagrangian translators under mean curvature flow | es |
dc.type | info:eu-repo/semantics/bookPart | es |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.relation.projectID | MTM2014-52368-P | es |
dc.relation.projectID | P09-FQM 5088 | es |
dc.relation.publisherversion | http://gigda.ugr.es/digap/data/uploads/XIEncuentroAndaluzGeometria.pdf | es |
idus.format.extent | 6 p. | es |
dc.publication.initialPage | 59 | es |
dc.publication.endPage | 64 | es |
dc.relation.publicationplace | Granada | es |