A compact \(\mathrm G_2\)-calibrated manifold with first Betti number \(b_1 = 1\)

DOI10.1016/j.aim.2021.107623zbMath1472.53061arXiv1808.07144OpenAlexW3129180475MaRDI QIDQ2656135

Anna Fino, Alexei Kovalev, Vicente Muñoz, Marisa Fernández

Publication date: 10 March 2021

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.07144

zbMATH Keywords

formalitycoassociative submanifoldsassociative submanifolds\(\mathrm{G}_2\) resolutioncalibrated \(\mathrm{G}_2\) structures

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Calibrations and calibrated geometries (53C38) Solvable, nilpotent (super)algebras (17B30)

Related Items (5)

Recent Results on Closed G 2-Structures ⋮ Resolution of four-dimensional symplectic orbifolds ⋮ Closed \({G_2}\)-structures on compact quotients of Lie groups ⋮ Exact \(\mathrm{G}_2\)-structures on compact quotients of Lie groups ⋮ Symplectic resolution of orbifolds with homogeneous isotropy

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