From minimal Lagrangian to J-minimal submanifolds: persistence and uniqueness
Differential Geometry
2019-09-04 v3
Abstract
Given a minimal Lagrangian submanifold L in a negative Kaehler--Einstein manifold M, we show that any small Kaehler--Einstein perturbation of M induces a deformation of L which is minimal Lagrangian with respect to the new structure. This provides a new source of examples of minimal Lagrangians. More generally, the same is true for the larger class of totally real J-minimal submanifolds in Kaehler manifolds with negative definite Ricci curvature.
Keywords
Cite
@article{arxiv.1704.08226,
title = {From minimal Lagrangian to J-minimal submanifolds: persistence and uniqueness},
author = {Jason D. Lotay and Tommaso Pacini},
journal= {arXiv preprint arXiv:1704.08226},
year = {2019}
}
Comments
Final version, 22 pages; to appear in a special volume in memory of Paolo de Bartolomeis, Boll. UMI