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

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 2016年 / 195卷 / 05期

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.

引用

页码：1721 / 1736

页数：16

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