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Mathematics > Differential Geometry

arXiv:1810.08099 (math)
[Submitted on 18 Oct 2018]

Title:Distinguished G2-structures on solvmanifolds

Authors: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.
Comments: To appear in a forthcoming volume of the Fields Institute Communications, entitled "Lectures and Surveys on G2 manifolds and related topics". 14 pages
Subjects: Differential Geometry (math.DG)
Cite as: arXiv:1810.08099 [math.DG]
  (or arXiv:1810.08099v1 [math.DG] for this version)
  https://doi.org/10.48550/arXiv.1810.08099

Submission history

From: Jorge Lauret [view email]
[v1] Thu, 18 Oct 2018 15:14:05 UTC (15 KB)
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