2018/05/24 by Roberta Maccheroni, Maccheroni, Roberta
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Symplectic Geometry (math.SG) #Symplectic geometry #math.DG #math.SG
paper · pdf · doi:10.48550/arxiv.1805.09651
17 pages, 1 figure. Accepted by "The Journal of Symplectic Geometry"
arxiv created 2019/07/02 · arxiv updated 2019/07/03
In this article we study complex properties of minimal Lagrangian submanifolds in Kaehler ambient spaces, and how they depend on the ambient curvature. In particular, we prove that, in the negative curvature case, minimal Lagrangians do not admit fillings by holomorphic discs. The proof relies on a mix of holomorphic curve techniques and on certain convexity results.