On $G_2$-structures, special metrics and related flows

Marisa Fernández; Anna Fino; Alberto Raffero

doi:10.1007/978-1-0716-0577-6_10

paper

On $G_{2}$ -structures, special metrics and related flows

arXiv:1810.07587 · doi:10.1007/978-1-0716-0577-6_10

Abstract

We review results about $G_{2}$ -structures in relation to the existence of special metrics, such as Einstein metrics and Ricci solitons, and the evolution under the Laplacian flow on non-compact homogeneous spaces. We also discuss some examples in detail.

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

On G2​-structures, special metrics and related flows

Abstract

On $G_{2}$ -structures, special metrics and related flows