Isometric flows of $G_2$-structures
Differential Geometry
2020-08-18 v1
Abstract
We survey recent progress in the study of flows of isometric -structures on 7-dimensional manifolds, that is, flows that preserve the metric, while modifying the -structure. In particular, heat flows of isometric -structures have been recently studied from several different perspectives, in particular in terms of -forms, octonions, vector fields, and geometric structures. We will give an overview of each approach, the results obtained, and compare the different perspectives.
Keywords
Cite
@article{arxiv.2008.06593,
title = {Isometric flows of $G_2$-structures},
author = {Sergey Grigorian},
journal= {arXiv preprint arXiv:2008.06593},
year = {2020}
}
Comments
9 pages, to appear in Proceedings of the 2019 ISAAC Congress (Aveiro, Portugal)