https://neckpinch.com/authors/xishen-jin/New arXiv papers by Xishen Jin, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2406.04591/arxiv:2406.04591Fri, 07 Jun 2024 00:00:00 GMTXishen Jin, Jiawei Liu — In this paper, we consider the stability of the generalized Lagrangian mean curvature flow of graph case in the cotangent bundle, which is first defined by Smoczyk-Tsui-Wang. By new estimates of derivatives along the flow, we weaken the initial condition and remove the positive curvature condition in Smoczyk-Tsui-Wang's work. More precisely, we prove that if the graph induced by a closed 1-form is a special Lagrangian submanifold in the cotangent bundle of a Riemannian manifold, then the generalized Lagrangian mean curvature flow is stable near it.Mean curvature flowLagrangian mean curvature flowStability & uniqueness