On the Existence of Proper Nearly Kenmotsu Manifolds

Erken, I.; Dacko, Piotr; Murathan, CENGİZHAN

doi:10.1007/s00009-016-0758-9

On the Existence of Proper Nearly Kenmotsu Manifolds

Erken I. K., Dacko P., Murathan C.

Mediterranean Journal of Mathematics, cilt.13, sa.6, ss.4497-4507, 2016 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 13 Sayı: 6
Basım Tarihi: 2016
Doi Numarası: 10.1007/s00009-016-0758-9
Dergi Adı: Mediterranean Journal of Mathematics
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.4497-4507
Anahtar Kelimeler: Almost contact metric manifold, Kenmotsu manifold, nearly Kenmotsu manifold
Bursa Uludağ Üniversitesi Adresli: Evet

Özet

© 2016, Springer International Publishing.We prove that a nearly Kenmotsu manifold is locally isometric to the warped product of a real line and a nearly Kähler manifold. As consequence, a normal nearly Kenmotsu manifold is Kenmotsu. Furthermore, we show that there do not exist nearly Kenmotsu hypersurfaces of nearly Kähler manifolds.