Flows of Co-closed G_{2}-Structures

Authors

Sergey Grigorian, The University of Texas Rio Grande ValleyFollow

Document Type

Book Chapter

Publication Date

2020

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.

Comments

© 2020 Springer Science+Business Media, LLC, part of Springer Nature.

https://rdcu.be/eLVvb

Recommended Citation

Grigorian, S. (2020). Flows of Co-closed G_{2}-Structures. In: Karigiannis, S., Leung, N., Lotay, J. (eds) Lectures and Surveys on G2-Manifolds and Related Topics. Fields Institute Communications, vol 84. Springer, New York, NY. https://doi.org/10.1007/978-1-0716-0577-6_12

Publication Title

Lectures and Surveys on G2-Manifolds and Related Topics

DOI

10.1007/978-1-0716-0577-6_12