Work

Geometric flow of $G_{2}$-structures on $C(S^3\times S^3)$

Year: 2014

Type: preprint

Abstract: We introduce a first order flow of $G_{2}$-structures and construct its explicit solution in case of a cone over $S^3\!\times\! S^3$. Also we prove for this situation that starting from certain initial datum the flow deforms corresponding to $G_2$-structure metric to a conic metric up to homotheties.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1407.0963

Author: Kozhasov, Khazhgali

Language: English

Topic: Geometry and complex manifolds

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W198702598

Cites: 1

Cited by:

Related to: 10