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Distinguished $$G_2$$-Structures on Solvmanifolds

Name: Distinguished $$G_2$$-Structures on Solvmanifolds
Creator: Jorge Lauret
Keywords: Mathematics - Differential Geometry, Differential Geometry (math.DG), FOS: Mathematics, 0101 mathematics, 01 natural sciences

descriptionPublicationkeyboard_double_arrow_right Part of book or chapter of book , Article , Preprint , Other literature type 01 Jan 2020Embargo end date: 01 Jan 2018Publisher:Springer US

Authors: Jorge Lauret;

doi: 10.1007/978-1-0716-0577-6_9 , 10.48550/arxiv.1810.08099

arXiv: http://arxiv.org/abs/1810.08099

Distinguished $$G_2$$-Structures on Solvmanifolds

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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.

To appear in a forthcoming volume of the Fields Institute Communications, entitled "Lectures and Surveys on G2 manifolds and related topics". 14 pages

Related Organizations

National University of Córdoba
Argentina

Keywords

Mathematics - Differential Geometry, Differential Geometry (math.DG), FOS: Mathematics

1 Research products, page 1 of 1

Quadratic closed G2-structures
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Distinguished $$G_2$$-Structures on Solvmanifolds

Distinguished $$G_2$$-Structures on Solvmanifolds

1 Research products, page 1 of 1

Quadratic closed G2-structures