Pseudosymmetric and Holomorphically Pseudosymmetric Manifolds

Beldjilali Gherici; Belkhelfa Mohamed; Hasni Abdelbasset

doi:10.56424/jts.v9i01.10564

Beldjilali Gherici Laboratoire de Physique Quantique de la mati`ere et de Mod´elisation Math´ematique (LPQ3M), Universit´e de Mascara, Bp 305 route de Mamounia 29000, Mascara, Algeria
Belkhelfa Mohamed Laboratoire de Physique Quantique de la mati`ere et de Mod´elisation Math´ematique (LPQ3M), Universit´e de Mascara, Bp 305 route de Mamounia 29000, Mascara, Algeria
Hasni Abdelbasset Laboratoire de Physique Quantique de la mati`ere et de Mod´elisation Math´ematique (LPQ3M), Universit´e de Mascara, Bp 305 route de Mamounia 29000, Mascara, Algeria

DOI: https://doi.org/10.56424/jts.v9i01.10564

Keywords: K¨ahlerian manifold, semi-symmetric, pseudosymmetric Bochner pseudosymmetry, Weyl pseudosymmetry and holomorphic projective pseudosymetry

Abstract

We study the Bochner pseudosymmetric , Weyl pseudosymmetric and holomorphic projective pseudosymetric conditions for Khalerian manifold and we show that are not essential in dimension greater than 4. For a 4 dimensional, many interesting relations between the various pseudosymmetry conditions of K¨ahlerian manifolds are determine