Flows of co-closed $G_{2}$-structures

Sergey Grigorian

Flows of co-closed $G_{2}$-structures

Differential Geometry 2018-11-27 v1

Authors: Sergey Grigorian

Abstract

We survey recent progress in the study of $G_{2}$ -structure Laplacian coflows, that is, heat flows of co-closed $G_{2}$ -structures. We introduce the properties of the original Laplacian coflow of $G_{2}$ -structures as well as the modified coflow, reviewing short-time existence and uniqueness results for the modified coflow and well as recent Shi-type estimates that apply to a more general class of $G_{2}$ -structure flows.

Cite

@article{arxiv.1811.10505,
  title  = {Flows of co-closed $G_{2}$-structures},
  author = {Sergey Grigorian},
  journal= {arXiv preprint arXiv:1811.10505},
  year   = {2018}
}

Comments

To appear in a forthcoming volume of the Fields Institute Communications, entitled "Lectures and Surveys on G2 manifolds and related topics"

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