English

Classification des varietes approximativement kahleriennes homogenes

Differential Geometry 2007-05-23 v2

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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Cite

@article{arxiv.math/0401152,
  title  = {Classification des varietes approximativement kahleriennes homogenes},
  author = {Jean-Baptiste Butruille},
  journal= {arXiv preprint arXiv:math/0401152},
  year   = {2007}
}

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in french

R2 v1 2026-07-22T17:01:32.890Z