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A geometric flow in the space of G 2-structures on the cone over S 3×S 3

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Abstract

We consider a flow of G 2-structures on a 7-dimensional manifold admitting a G 2-structure. The general solution to this flow is found in the case when the manifold is the cone over S 3×S 3. Weprove the convergence of the metric associated with the solution to the conical metric modulo homotheties.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk, Russia

    Kh. Zh. Kozhasov

  2. Scuola Internazionale Superiore di Studi Avanzati, Trieste, Italy

    Kh. Zh. Kozhasov

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  1. Kh. Zh. Kozhasov
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Correspondence to Kh. Zh. Kozhasov.

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Original Russian Text Copyright © 2015 Kozhasov Kh.Zh.

Novosibirsk; Trieste. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 56, No. 6, pp. 1366–1374, November–December, 2015; DOI: 10.17377/smzh.2015.56.613.

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Kozhasov, K.Z. A geometric flow in the space of G 2-structures on the cone over S 3×S 3 . Sib Math J 56, 1093–1100 (2015). https://doi.org/10.1134/S0037446615060130

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  • DOI: https://doi.org/10.1134/S0037446615060130

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