Translating solitons for Lagrangian mean curvature flow in complex Euclidean plane

Autor:	Castro, Ildefonso, Lerma, Ana M.
Rok vydání:	2010
Předmět:	Mathematics - Differential Geometry 53C42 53D12 (Primary) 53B25 (Secondary)
Zdroj:	Internat. J. Math. 23, No. 10 (2012), 1250101 (16 pages)
Druh dokumentu:	Working Paper
Popis:	Using certain solutions of the curve shortening flow, including self-shrinking and self-expanding curves or spirals, we construct and characterize many new examples of translating solitons for mean curvature flow in complex Euclidean plane. They generalize the Joyce, Lee and Tsui ones \cite{JLT} in dimension two. The simplest (non trivial) example in our family is characterized as the only (non totally geodesic) Hamiltonian stationary Lagrangian translating soliton for mean curvature flow in complex Euclidean plane. Comment: 15 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1007.1886 Zobrazit plný text záznamu View this record from Arxiv