Calabi-Yau Connections with Torsion on Toric Bundles

Abstract

We find sufficient conditions for a principal toric bundle over compact Kähler manifolds to admit Calabi-Yau connections with torsion. With the aids of a topological classification, we construct such geometry on $n(S^2\times S^4)#(n+1)(S^3\times S^3)$

18 pages, final version to appear in J.Diff.Geom

References in corpus (1)

• On some properties of the manifolds with skew-symmetric torsion and holonomy SU(n) and Sp(n)

Cited by in corpus (2)

• The Existence of Supersymmetric String Theory with Torsion
• Curvature of (special) almost Hermitian manifolds