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


Gündüzalp Y., Akyol M. A.

Filomat, vol.37, no.13, pp.4271-4286, 2023 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 37 Issue: 13
  • Publication Date: 2023
  • Doi Number: 10.2298/fil2313271g
  • Journal Name: Filomat
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.4271-4286
  • Keywords: 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 University Affiliated: No

Abstract

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.