A differential complex for locally conformal calibrated \(G_2\)-manifolds

zbMath0949.53038MaRDI QIDQ1977660

Luis Ugarte, Marisa Fernández

Publication date: 5 December 2000

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

holonomy\(G_2\)-manifoldcoeffective cohomologycompact nilmanifoldcalibrated \(G_2\)-structureNomizu type theorem

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Calibrations and calibrated geometries (53C38)

Related Items (4)

Locally conformal calibrated \(G_2\)-manifolds ⋮ Dolbeault-type complexes on \(G_2\)- and \(\mathrm{Spin}(7)\)-manifolds ⋮ Special types of locally conformal closed \(G_2\)-structures ⋮ The Laplacian flow of locally conformal calibrated \(\operatorname{G}_{2}\)-structures

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