On anti-invariant Riemannian submersions whose total manifolds are locally product Riemannian
JOURNAL OF GEOMETRY, cilt.108, sa.2, ss.411-422, 2017 (ESCI, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 108 Sayı: 2
- Basım Tarihi: 2017
- Doi Numarası: 10.1007/s00022-016-0347-x
- Dergi Adı: JOURNAL OF GEOMETRY
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
- Sayfa Sayıları: ss.411-422
- İstanbul Üniversitesi Adresli: Evet
Özet
In this paper, we study Riemannian, anti-invariant and Lagrangian submersions from locally product Riemannian manifolds onto Riemannian manifolds. We first give a characterization theorem for Riemannian submersions. It is proved that the fibers of a Lagrangian submersion are always totally geodesic. We also consider the first variational formula of anti-invariant Riemannian submersions and give a new condition for the harmonicity of such submersions.