Locally conformal calibrated G2-manifolds

被引:0
|
作者
Fernandez, Marisa [1 ]
Fino, Anna [2 ]
Raffero, Alberto [2 ]
机构
[1] Univ Basque Country, Fac Ciencias & Tecnol, Dept Matemat, Apartado 644, E-48080 Bilbao, Spain
[2] Univ Turin, Dipartimento Matemat G Peano, Via Carlo Alberto 10, I-10123 Turin, Italy
关键词
Locally conformal calibrated G(2)-structure; SU(3)-structure; Mapping torus; HALF-FLAT STRUCTURES; METRICS; COMPLEX;
D O I
10.1007/s10231-015-0544-5
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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.
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页码:1721 / 1736
页数:16
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