Hermitian structures on six dimensional nilmanifolds

2004/11/11 by Luis Ugarte, Ugarte, Luis · 5 citations
Mathematics · #32G05 (Secondary) #53C55 (Primary) 17B30 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:17B30 #msc:32G05 #msc:53C55

paper · pdf · doi:10.48550/arxiv.math/0411254

LaTeX, 24 pages, 1 figure

arxiv created 2004/11/11 · arxiv updated 2009/12/01

Abstract

Let (J,g) be a Hermitian structure on a compact nilmanifold M with invariant complex structure J and compatible metric g, which is not required to be invariant. We give classifications of 6-dimensional nilmanifolds M admitting strong Kähler with torsion, balanced or locally conformal Kähler structures (J,g).

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