On anti-invariant Riemannian submersions whose total manifolds are locally product Riemannian

Tastan H. M., Özdemir F., Sayar C.

JOURNAL OF GEOMETRY, cilt.108, sa.2, ss.411-422, 2017 (ESCI) identifier identifier

  • 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 Teknik 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.