We prove that the automorphism group of a compact 6-manifold M endowed with a symplectic half-flat SU(3)-structure has Abelian Lie algebra with dimension bounded by min{5, b1(M)}. Moreover, we study the properties of the automorphism group action and we discuss relevant examples. In particular, we provide new complete examples on T3 which are invariant under a cohomogeneity one action of SO(4).

On the automorphism group of a symplectic half-flat 6-manifold

Raffero, Alberto
2019

Abstract

We prove that the automorphism group of a compact 6-manifold M endowed with a symplectic half-flat SU(3)-structure has Abelian Lie algebra with dimension bounded by min{5, b1(M)}. Moreover, we study the properties of the automorphism group action and we discuss relevant examples. In particular, we provide new complete examples on T3 which are invariant under a cohomogeneity one action of SO(4).
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http://www.degruyter.com/view/j/form?rskey=4T2Asx&result=1&q=Forum Mathematicum
automorphism group; cohomogeneity one action; SU(3)-structure; Mathematics (all); Applied Mathematics
Podestà, Fabio; Raffero, Alberto*
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/1684879
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