A note on Canonical Ricci forms on 2-step nilmanifolds

Details A note on Canonical Ricci forms on 2-step nilmanifolds A note on Canonical Ricci forms on 2-step nilmanifolds

2012-02-28

arxiv.org/abs/1202.6227v2

Mathematics

Differential Geometry

7 pages. To appear in Proc. of the AMS

Scientific paper

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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