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[en] We discuss how in the presence of a nontrivial RR two-form field strength and nontrivial dilaton the conditions of preserving supersymmetry on six-dimensional manifolds lead to generalized monopole and Killing spinor equations. We construct an SU(3)-structure on these manifolds and give the explicit expression of its intrinsic torsion in terms of the RR two-form field strength and dilaton. We show that the manifold is Kaehler if F(1,1)=0. (Abstract Copyright [2003], Wiley Periodicals, Inc.)
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