机构:
Univ Turin, Dipartimento Matemat G Peano, Via Carlo Alberto 10, I-10123 Turin, ItalyUniv Basque Country, Fac Ciencias & Tecnol, Dept Matemat, Apartado 644, E-48080 Bilbao, Spain
Fino, Anna
[2
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Raffero, Alberto
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机构:
Univ Turin, Dipartimento Matemat G Peano, Via Carlo Alberto 10, I-10123 Turin, ItalyUniv Basque Country, Fac Ciencias & Tecnol, Dept Matemat, Apartado 644, E-48080 Bilbao, Spain
We study conditions for which the mapping torus of a 6-manifold endowed with an SU(3)-structure is a locally conformal calibrated G(2)-manifold, that is, a 7-manifold endowed with a G(2)-structure phi such that d(phi) = -theta Lambda phi for a closed nonvanishing 1-form theta. Moreover, we showthat if (M, phi) is a compact locally conformal calibratedG(2)-manifold with L-theta#phi = 0, where theta(#) is the dual of theta with respect to the Riemannian metric g(phi) induced by phi, then M is a fiber bundle over S-1 with a coupled SU(3)-manifold as fiber.