Deformations of calibrated submanifolds with boundary
Differential Geometry
2019-10-03 v1
Abstract
We review some results concerning the deformations of calibrated minimal submanifolds which occur in Riemannian manifolds with special holonomy. The calibrated submanifolds are assumed compact with a non-empty boundary which is constrained to move in a particular fixed submanifold. The results extend McLean's deformation theory previously developed for closed compact submanifolds.
Keywords
Cite
@article{arxiv.1910.00978,
title = {Deformations of calibrated submanifolds with boundary},
author = {Alexei Kovalev},
journal= {arXiv preprint arXiv:1910.00978},
year = {2019}
}
Comments
To appear in a forthcoming volume of the Fields Institute Communications, entitled "Lectures and Surveys on G2 manifolds and related topics"