Pointwise semi-slant Riemannian (PSSR) maps from almost Hermitian manifolds

Gündüzalp Y., Akyol M. A.

Filomat, cilt.37, sa.13, ss.4271-4286, 2023 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 37 Sayı: 13
  • Basım Tarihi: 2023
  • Doi Numarası: 10.2298/fil2313271g
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.4271-4286
  • Anahtar Kelimeler: Casorati curvature, Chen-Ricci inequality, Kaehler manifold, pointwise semi-slant Riemannian map, pointwise semi-slant submanifold, pointwise semi-slant submersion, Riemannian map, semi-slant function
  • Uşak Üniversitesi Adresli: Hayır

Özet

In this paper, as a generalization of pointwise slant submanifolds [B-Y. Chen and O. J. Garay, Pointwise slant submanifolds in almost Hermitian manifolds, Turk J Math 36, (2012), 630-640.], pointwise slant submersions [J.W.Lee and B. Ṣahin, Pointwise slant submersions, Bulletin of the Korean Mathematical Sosiety, 51(4), (2014), 115-1126.] and pointwise slant Riemannian maps [Y. Gündüzalp and M. A. Akyol, Pointwise slant Riemannian maps from Kaehler manifolds, Journal of Geometry and Physics, 179, (2002), 104589.], we introduce pointwise semi-slant Riemannian maps (briefly, PSSR maps) from almost Hermitian manifolds to Riemannian manifolds, present examples and characterizations. We also investigate the harmonicity of such maps. Moreover, we give Chen-Ricci inequality for a PSSR map. Finally, we study some curvature relations in complex space forms, involving Casorati curvatures for PSSR maps.