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Classification des varietes approximativement kahleriennes homogenes

Jean-Baptiste Butruille
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Abstract

We prove Gray & Wolf's conjecture that a Riemannian homogeneous manifold admitting a strict nearly Kahler structure is 3-symmetric. We actually classify them in dimension 6 and use previous results of Swann, Cleyton and Nagy to prove the conjecture in higher dimensions.

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Jean-Baptiste Butruille. 2004-01-15. Classification des varietes approximativement kahleriennes homogenes. https://arxiv.org/abs/math/0401152

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