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arxiv: math/0605440 · v2 · submitted 2006-05-16 · 🧮 math.DG · math.CV

Homog\'en\'eit\'e locale pour les m\'etriques riemanniennes holomorphes en dimension 3

classification 🧮 math.DG math.CV
keywords actscompactcomplexdimensionetriquesholomorphesholomorphichomog
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We show that holomorphic riemannian metrics on compact complex threefolds are locally homogeneous (the pseudogroup of local isometries acts transitively on the manifold).

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