arXiv Analytics

Sign in

arXiv:math/0411254 [math.DG]AbstractReferencesReviewsResources

Hermitian structures on six dimensional nilmanifolds

Luis Ugarte

Published 2004-11-11Version 1

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 K\"ahler with torsion, balanced or locally conformal K\"ahler structures (J,g).

Comments: LaTeX, 24 pages, 1 figure
Categories: math.DG
Subjects: 53C55, 17B30, 32G05
Related articles: Most relevant | Search more
arXiv:math/0007066 [math.DG] (Published 2000-07-11)
Almost Hermitian Geometry on Six Dimensional Nilmanifolds
arXiv:1908.10824 [math.DG] (Published 2019-08-28)
Almost Hermitian structures on tangent bundles
arXiv:math/0604608 [math.DG] (Published 2006-04-27, updated 2008-04-30)
Hermitian structures on cotangent bundles of four dimensional solvable Lie groups

Links

Toolbox