Winkelmann — On Manifolds With Trivial Logarithmic Tangent Bundle: The Non-Kähler Case (2008)

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Jörg Winkelmann. On Manifolds with Trivial Logarithmic Tangent Bundle: The Non-Kähler Case. Transformation Groups. 2008.

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Abstract

We study non-K\"ahler manifolds with trivial logarithmic tangent bundle. We show that each such manifold arises as a fibre bundle with a compact complex parallelizable manifold as basis and a compactficiation of a semi-torus as fibre.