Geometric Flows of G_2 Structures

Author: 

Lotay, J

Publication Date: 

27 May 2020

Journal: 

Lectures and Surveys on G2-Manifolds and Related Topics

Last Updated: 

2021-02-13T03:47:36.89+00:00

page: 

113-140

abstract: 

Geometric flows have proved to be a powerful geometric analysis tool, perhaps
most notably in the study of 3-manifold topology, the differentiable sphere
theorem, Hermitian-Yang-Mills connections and canonical Kaehler metrics. In the
context of G_2 geometry, there are several geometric flows which arise. Each
flow provides a potential means to study the geometry and topology associated
with a given class of G_2 structures. We will introduce these flows, and
describe some of the key known results and open problems in the field.

Symplectic id: 

968677

Download URL: 

Submitted to ORA: 

Submitted

Publication Type: 

Chapter