Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4606189 | Differential Geometry and its Applications | 2011 | 14 Pages |
Abstract
We introduce obstructions to the existence of a calibrated G2-structure on a Lie algebra gg of dimension seven, not necessarily nilpotent. In particular, we prove that if there is a Lie algebra epimorphism from gg to a six-dimensional Lie algebra hh with kernel contained in the center of gg, then hh has a symplectic form. As a consequence, we obtain a classification of the nilpotent Lie algebras that admit a calibrated G2-structure.
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Physical Sciences and Engineering
Mathematics
Analysis
Authors
Diego Conti, Marisa Fernández,