Anti-invariant and Lagrangian submersions from trans-Sasakian manifolds


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Taştan H. M. , Sıddıqı M. D.

Balkan Journal of Geometry and Its Applications,, cilt.25, no.9, ss.106-123, 2020 (ESCI İndekslerine Giren Dergi)

  • Cilt numarası: 25 Konu: 2
  • Basım Tarihi: 2020
  • Dergi Adı: Balkan Journal of Geometry and Its Applications,
  • Sayfa Sayıları: ss.106-123

Özet

We study anti-invariant and Lagrangian submersions from trans-Sasakian manifolds onto Riemannian manifolds. We prove that the horizontal distributions of such submersions are not integrable and their fibers are not totally geodesic. Consequently, they cannot be totally geodesic maps. We also check that the harmonicity of such submersions. In particular, we show that they cannot be harmonic in the case when the Reeb vector field is horizontal.