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

preprint2018arXivOpen access

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.

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

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On G2G_2G2​-structures, special metrics and related flows

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