Sasaki-Kenmotsu manifolds

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Beldjilali G., Gezer A.

ACTA ET COMMENTATIONES UNIVERSITATIS TARTUENSIS DE MATHEMATICA, cilt.26, sa.1, ss.77-88, 2022 (ESCI) identifier identifier

  • 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
  • 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.