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arXiv · 1303.7444

Cocalibrated G_2-manifolds with Ricci flat characteristic connection

Thomas Friedrich
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Abstract

Any 7-dimensional cocalibrated G_2-manifold admits a unique connection $\nabla$ with skew symmetric torsion. We study these manifolds under the additional condition that the $\nabla$-Ricci tensor vanishes. In particular, we describe their geometry in case of a maximal number of $\nabla$-parallel vector fields.

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Thomas Friedrich. 2013-03-29. Cocalibrated G_2-manifolds with Ricci flat characteristic connection. https://arxiv.org/abs/1303.7444

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