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Invariant torsion and G2-metrics

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Conti D., Madsen T. B.

Complex Manifolds

2015

tom 2

nr 1

We introduce and study a notion of invariant intrinsic torsion geometrywhich appears, for instance, in connection with the Bryant-Salamon metric on the spinor bundle over S3. This space is foliated by sixdimensional hypersurfaces, each of which carries a particular type of SO(3)-structure; the intrinsic torsion is invariant under SO(3). The last condition is sufficient to imply local homogeneity of such geometries, and this allows us to give a classification. We close the circle by showing that the Bryant-Salamon metric is the unique complete metric with holonomy G2 that arises from SO(3)-structures with invariant intrinsic torsion.

Ograniczanie wyników

1 Complex Manifolds

1 Conti D.

1 Madsen T. B.

1 2015

Wyniki wyszukiwania

Invariant torsion and G2-metrics