Anti-invariant Riemannian submersions from Kenmotsu manifolds onto Riemannian manifolds

Ayşe BERİ; İrem Küpeli ERKEN; Cengizhan MURATHAN

Makale detayları

Anti-invariant Riemannian submersions from Kenmotsu manifolds onto Riemannian manifolds

Yazarlar:

Ayşe BERİ | İrem Küpeli ERKEN | Cengizhan MURATHAN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2016 Vol.40 Issue 3, pp.540-552

Belge Tipi:

Makale

Yayın Tarihi:

5/2016

Belge Dili:

Türkçe

Document ID (Org No.):

2000746971

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

The purpose of this paper is to study anti-invariant Riemannian submersions from Kenmotsu manifolds onto Riemannian manifolds. Several fundamental results in this respect are proved. The integrability of the distributions and the geometry of foliations are investigated. We proved  the nonexistence of (anti-invariant) Riemannian submersions from Kenmotsu manifolds onto Riemannian manifolds such that the characteristic vector field ξξ\xi  is a vertical vector field. We gave a method to get horizontally conformal submersion examples from warped product manifolds onto Riemannian manifolds. Furthermore, we presented an example of anti-invariant Riemannian submersions in the case where the characteristic vector field ξξ\xi  is a horizontal vector field and an anti-invariant horizontally conformal submersion such that ξξ\xi  is a vertical vector field.

Makale detayları

Anti-invariant Riemannian submersions from Kenmotsu manifolds onto Riemannian manifolds

Yazarlar: Ayşe BERİ | İrem Küpeli ERKEN | Cengizhan MURATHAN

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2016 Vol.40 Issue 3, pp.540-552

Belge Tipi: Makale

Yayın Tarihi: 5/2016

Belge Dili: Türkçe

Document ID (Org No.): 2000746971

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

Ayşe BERİ | İrem Küpeli ERKEN | Cengizhan MURATHAN

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2016 Vol.40 Issue 3, pp.540-552

Belge Tipi:

Makale

Yayın Tarihi:

5/2016

Belge Dili:

Türkçe

Document ID (Org No.):

2000746971

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098