Generalized Thomas-Yau Uniqueness Theorems
Differential Geometry
2021-12-21 v2 Symplectic Geometry
Abstract
We generalize Thomas-Yau's uniqueness theorem in two ways. We prove a stronger statement for special Lagrangians and include minimal Lagrangians in K\"ahler-Einstein manifold or more generally J-minimal Lagrangians introduced by Lotay and Pacini. In every case the heart of the proof is to make certain Hamiltonian perturbations. For this we use the method by Imagi, Joyce and Oliveira dos Santos.
Cite
@article{arxiv.2012.14647,
title = {Generalized Thomas-Yau Uniqueness Theorems},
author = {Yohsuke Imagi},
journal= {arXiv preprint arXiv:2012.14647},
year = {2021}
}
Comments
Minor Changes. To appear in Birational Geometry, K\"ahler--Einstein Metrics and Degenerations, Springer Proceedings in Mathematics and Statistics