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arXiv · 1802.09412

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

Fabio Podestà·Alberto Raffero
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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$\{5,b_1(M)\}$. Moreover, we study the properties of the automorphism group action and we discuss relevant examples. In particular, we provide new complete examples on $T\mathbb{S}^3$ which are invariant under a cohomogeneity one action of SO(4).

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Fabio Podestà, Alberto Raffero. 2018-02-26. On the automorphism group of a symplectic half-flat 6-manifold. https://doi.org/10.1515/forum-2018-0137

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