Hermitian structures on six dimensional nilmanifolds

Details Hermitian structures on six dimensional nilmanifolds Hermitian structures on six dimensional nilmanifolds

2004-11-11

arxiv.org/abs/math/0411254v1

Mathematics

Differential Geometry

LaTeX, 24 pages, 1 figure

Scientific paper

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).

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