On Ricci H-pseudosymmetric H-hypersurfaces of some anti-Kähler manifolds. (English) Zbl 1199.53145

Deszcz, R.; Prvanović, Mileva

Bull., Cl. Sci. Math. Nat., Sci. Math. 137, No. 33, 43-58 (2008).

The notions of the pseudosymmetry and the Ricci pseudosymmetry are introduced in the paper of F. Defever, R. Deszcz, P. Dhooghe, L. Verstraelen and S. Yarpak [Result. Math. 27(3–4), 227–236 (1995; Zbl 0832.53015)]. These notions are here adapted to the case of anti-Kähler manifolds. In particular, many properties of the so called \(h\)-hypersurfaces of the anti-Kähler manifolds of the constant totally real sectional curvatures, are established.

Reviewer: Miroslava Torgašev-Petrović (Kragujevac)

MSC:

53C56

Other complex differential geometry

Keywords:

anti-Kähler manifold

Citations:

Zbl 0832.53015