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

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).

11 pages

References in corpus (2)

• On the geometry underlying supersymmetric flux vacua with intermediate SU(2) structure
• Homogeneous symplectic half-flat 6-manifolds

Cited by in corpus (2)

• SYZ mirror symmetry of solvmanifolds
• Special solutions to the Type IIA flow