Generalized Trans-Sasakian manifolds

Generalized Trans-Sasakian manifolds

In this paper, we study the class of almost contact metric manifolds which are conformal to Trans-Sasakian manifolds, and we construct concrete examples from almost Hermitian manifolds using the product of manifolds. As a consequence, we obtain several properties for the three-dimensional case.

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Veröffentlicht in:Differential geometry and its applications 2023-04, Vol.87, p.101976, Article 101976
Hauptverfasser: Sinacer, Moulay Larbi, Beldjilali, Gherici, Bayour, Benaoumeur, Bouzir, Habib
Format: Artikel
Sprache:eng
Schlagworte:
Almost contact metric structure
CR-manifolds
Trans-Sasakian manifolds
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Zusammenfassung:In this paper, we study the class of almost contact metric manifolds which are conformal to Trans-Sasakian manifolds, and we construct concrete examples from almost Hermitian manifolds using the product of manifolds. As a consequence, we obtain several properties for the three-dimensional case.
ISSN:0926-2245
1872-6984
DOI:10.1016/j.difgeo.2023.101976