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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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