We study conditions for which the mapping torus of a 6-manifold endowed with an SU(3)-structure is a locally conformal calibrated G2-manifold, that is, a 7-manifold endowed with a G2-structure φ such that dφ=−θ∧φ for a closed nonvanishing 1-form θ. Moreover, we show that if (M,φ) is a compact locally conformal calibrated G2-manifold with L_(θ#)φ=0, where θ# is the dual of θ with respect to the Riemannian metric g_φ induced by φ, then M is a fiber bundle over S^1 with a coupled SU(3)-manifold as fiber.

Locally conformal calibrated G_2-manifolds

FINO, Anna Maria;RAFFERO, ALBERTO
2016

Abstract

We study conditions for which the mapping torus of a 6-manifold endowed with an SU(3)-structure is a locally conformal calibrated G2-manifold, that is, a 7-manifold endowed with a G2-structure φ such that dφ=−θ∧φ for a closed nonvanishing 1-form θ. Moreover, we show that if (M,φ) is a compact locally conformal calibrated G2-manifold with L_(θ#)φ=0, where θ# is the dual of θ with respect to the Riemannian metric g_φ induced by φ, then M is a fiber bundle over S^1 with a coupled SU(3)-manifold as fiber.
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http://link.springer.com/article/10.1007%2Fs10231-015-0544-5
http://arxiv.org/abs/1504.04508
Locally conformal calibrated G2-structure, SU(3)-structure, Mapping torus
M. Fernandez; A. Fino; A. Raffero
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/1509429
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