https://neckpinch.com/authors/carlos-alberto-ochoa-flores/New arXiv papers by Carlos Alberto Ochoa Flores, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2609.34923/arxiv:2609.34923Mon, 28 Sep 2026 00:00:00 GMTCarlos Alberto Ochoa Flores — A major problem in geometric analysis is to understand the behaviour of the Lagrangian mean curvature flow. This has proved to be a challenging problem, in particular, not many explicit examples of flows that exist for all time and converge to a minimal Lagrangian are known. In this paper we construct new examples of Lagrangian mean curvature flows in the Kummer K3 surface that converge to special Lagrangian spheres. We reduce the construction to a scalar perturbation problem that can be solved by a fixed point argument.Mean curvature flowLagrangian mean curvature flowRicci-flat & Calabi–YauLong-time existence & convergence