2006/05/16 by Sorin Dumitrescu, Dumitrescu, Sorin
Mathematics · #53A55 #53B21 #53C56 #Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics #math.CV #math.DG #msc:53A55 #msc:53B21 #msc:53C56
paper · pdf · doi:10.48550/arxiv.math/0605440
30 pages. Revised version (minor changes). To appear
arxiv created 2006/07/12 · arxiv updated 2009/12/01
We show that holomorphic riemannian metrics on compact complex threefolds are locally homogeneous (the pseudogroup of local isometries acts transitively on the manifold).