Riv.Mat.Univ.Parma (4) 17 (1991)

JERZY J. KONDERAK

An example of an almost hermitian flat manifold which is not hermitian

Pages: 315-318
Received: 28 June 1991
Mathematics Subject Classification: 53B35

Abstract In the present paper we construct an almost hermitian flat manifold which is not hermitian. This example demonstrates that there exist para-kähler manifolds which are not Kähler, and that there exist almost hermitian manifolds satisfying the A. Gray identity, which are not hermitian.