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Preprint · arXiv · July 3, 2014

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

Khazhgali Kozhasov
Read on arXivPDFDOI 10.48550/arxiv.1407.0963

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.

Geometry and complex manifoldsGeometric Analysis and Curvature FlowsAdvanced Differential Geometry ResearchG2-structuresgeometric flowsexplicit solutions

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