Hermitian structures on six dimensional nilmanifolds

Luis Ugarte

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Hermitian structures on six dimensional nilmanifolds

Luis Ugarte

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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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BibTeX RIS

Luis Ugarte. 2004-11-11. Hermitian structures on six dimensional nilmanifolds. https://arxiv.org/abs/math/0411254

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