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- W2321314036 abstract "Abstract In this paper, vectorial type deformations of a 7-dimensional manifold with structure group G 2 are considered. The fundamental 3-form of such a manifold is deformed by a vector field, and the new cross product and the new Levi-Civita covariant derivation of the new metric are obtained in terms of the old ones. An example of a 7-dimensional manifold with structure group G 2 which is in the widest class W in the classification of Fernández and Gray is given; this manifold has a nontrivial Killing vector field corresponding to the new metric." @default.
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- W2321314036 date "2014-10-01" @default.
- W2321314036 modified "2023-09-23" @default.
- W2321314036 title "On deformations of G<sub>2</sub>-structures by Killing vector fields" @default.
- W2321314036 doi "https://doi.org/10.1515/advgeom-2014-0012" @default.
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