A NOTE ON CANONICAL RICCI FORMS ON 2-STEP NILMANIFOLDS

作者:Vezzoni Luigi*
来源:Proceedings of the American Mathematical Society, 2013, 141(1): 325-333.

摘要

In this paper 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 (i.e. d* omega = 0).

  • 出版日期2013-1