Kadi, Fatima Zohra2022-06-222022-06-222021-06-23salle des thèsesDOC-516-08-01https://dspace.univ-tlemcen.dz/handle/112/18649Our objective was to study the symmetry properties of complex contact manifolds. We started by studying the symmetry properties of normal complex contact manifolds, namely, Ricci-symmetry, Ricci-semi-symmetry and Ricci-pseudo-symmetry. The results obtained : 1. A normal complex contact manifold is Ricci-semi-symmetric if and only if it is an Einstein manifold. 2. A complex contact space form with constant GH-sectional curvature c is est properly Ricci-pseudo-symmetric (Lρ 6= 0) if and only if c = −1. 3. The non-existence of properly pseudo-symmetric (LR 6= 0) complex contact space form. In addition, the symmetry properties of complex (κ, µ)-spaces have been studied and it has been shown that 1. The complex (κ, µ)-spaces (κ < 1) are not Einstein. 2. The complex (κ, µ)-spaces (κ < 1) are Ricci-symmetric, Ricci-semi-symmetric if and only if they are locally isometric to C n+1 × CP n(16). 3. The complex (κ, µ)-spaces (κ < 1) are not properly Ricci-pseudo-symmetric. 4. The space C n+1 × CP n(16) is locally symmetric.frVariétés de contacts complexes.Thesis