G2-metrics arising from non-integrable special Lagrangian fibrations
Keyword(s):
Type 3
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AbstractWe study special Lagrangian fibrations of SU(3)-manifolds, not necessarily torsion-free. In the case where the fiber is a unimodular Lie group G, we decompose such SU(3)-structures into triples of solder 1-forms, connection 1-forms and equivariant 3 × 3 positive-definite symmetric matrix-valued functions on principal G-bundles over 3-manifolds. As applications, we describe regular parts of G2-manifolds that admit Lagrangian-type 3-dimensional group actions by constrained dynamical systems on the spaces of the triples in the cases of G = T3 and SO(3).
1999 ◽
Vol 71
(1)
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pp. 105-115
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1970 ◽
Vol 13
(1)
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pp. 141-143
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1972 ◽
Vol 15
(2)
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pp. 225-228
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2021 ◽
Vol 10
(9)
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pp. 3195-3207