Almost Contact Manifolds , Connections with Torsion , and Parallel Spinors

Abstract

We classify locally homogeneous quasi-Sasakian manifolds in dimension five that admit a parallel spinor ψ of algebraic type F · ψ = 0 with respect to the unique connection ∇ preserving the quasi-Sasakian structure and with totally skew-symmetric torsion. We introduce a certain conformal transformation of almost contact metric manifolds and discuss a link… (More)

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Cite this paper

@inproceedings{FriedrichAlmostCM, title={Almost Contact Manifolds , Connections with Torsion , and Parallel Spinors}, author={Thomas Friedrich and Stefan Ivanov} }