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On the automorphism group of a symplectic half-flat 6-manifold (1802.09412v1)
Published 26 Feb 2018 in math.DG and hep-th
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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