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arXiv · 1202.6227

A note on Canonical Ricci forms on 2-step nilmanifolds

Luigi Vezzoni
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Abstract

In this note we prove that any left-invariant almost Hermitian structure on a 2-step nilmanifold is Ricci-flat with respect to the Chern connection and that it is Ricci-flat with respect to another canonical connection if and only if it is cosymplectic.

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Luigi Vezzoni. 2012-06-08. A note on Canonical Ricci forms on 2-step nilmanifolds. https://arxiv.org/abs/1202.6227

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