Classification des varietes approximativement kahleriennes homogenes

Details Classification des varietes approximativement kahleriennes homogenes Classification des varietes approximativement kahleriennes homogenes

2004-01-14

arxiv.org/abs/math/0401152v2

Mathematics

Differential Geometry

in french

Scientific paper

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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