https://neckpinch.com/authors/ildefonso-castro/New arXiv papers by Ildefonso Castro, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/1603.03229/arxiv:1603.03229Thu, 10 Mar 2016 00:00:00 GMTIldefonso Castro, Ana M. Lerma, Vicente Miquel — We describe the evolution under the mean curvature flow of embedded Lagrangian spherical surfaces in the complex Euclidean plane ℂ². In particular, we answer the Question 4.7 addressed in [Ne10b] by A. Neves about finding out a condition on a starting Lagrangian torus in ℂ² such that the corresponding mean curvature flow becomes extinct at finite time and converges after rescaling to the Clifford torus.Mean curvature flowLagrangian mean curvature flowSingularities