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arXiv · 1810.08099

Distinguished G2-structures on solvmanifolds

Jorge Lauret
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Abstract

Among closed G2-structures there are two very distinguished classes: Laplacian solitons and Extremally Ricci-pinched G2-structures. We study the existence problem and explore possible interplays between these concepts in the context of left-invariant G2-structures on solvable Lie groups. Also, some Ricci pinching properties of G2-structures on solvmanifolds are obtained, in terms of the extremal values and points of the Ricci pinching functional F=scal/|Ric|. Many natural open problems have been included.

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Jorge Lauret. 2018-10-18. Distinguished G2-structures on solvmanifolds. https://arxiv.org/abs/1810.08099

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