Sasaki-Kenmotsu manifolds
ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA, cilt.26, sa.1, ss.77-88, 2022 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 26 Sayı: 1
- Basım Tarihi: 2022
- Doi Numarası: 10.12697/acutm.2022.26.06
- Dergi Adı: ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier
- Sayfa Sayıları: ss.77-88
- Anahtar Kelimeler: f-structure, almost contact metric structure, Sasaki-Kenmotsu structure
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Atatürk Üniversitesi Adresli: Evet
Özet
In the present paper, we introduce a new class of structures on an even dimensional differentiable Riemannian manifold which combines, well known in literature, the Sasakian and Kenmotsu structures simultaneously. The structure will be called a Sasaki-Kenmotsu structure by us. Firstly, we discuss the normality of the Sasaki-Kenmotsu structure and give some basic properties. Secondly, we present some important results concerning with the curvatures of the Sasaki-Kenmotsu manifold. Finally, we show the existence of the Sasaki-Kenmotsu structure by giving some concrete examples.