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Titre: | Variétés de contacts complexes. |
Auteur(s): | KADI, FATIMA ZOHRA |
Mots-clés: | Variétés de contacts complexes. |
Date de publication: | 23-jui-2021 |
Editeur: | 22-06-2022 |
Référence bibliographique: | salle des thèses |
Collection/Numéro: | bfst2750; |
Résumé: | Our 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. |
URI/URL: | http://dspace.univ-tlemcen.dz/handle/112/18649 |
Collection(s) : | Doctorat Lmd en Mathématique |
Fichier(s) constituant ce document :
Fichier | Description | Taille | Format | |
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Varietes-de-contacts-complexes..pdf | CD | 1,11 MB | Adobe PDF | Voir/Ouvrir |
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