Capítulo de Libro
Lagrangian translators under mean curvature flow
Autor/es | Castro López, Ildefonso
Lerma Fernández, Ana María |
Coordinador/Director | Carriazo Rubio, Alfonso
Fuente Benito, Daniel de la Márquez García, María del Carmen Romero Sarabia, Alfonso |
Fecha de publicación | 2015 |
Fecha de depósito | 2018-05-03 |
Publicado en |
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ISBN/ISSN | 9788417293093 |
Resumen | 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 ... 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. |
Identificador del proyecto | MTM2014-52368-P
P09-FQM 5088 |
Cita | 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 |
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