Pointwise hemi-slant Riemannian maps (PHSRM) from almost Hermitian manifolds

Akyol M. A., Gündüzalp Y.

Hacettepe Journal of Mathematics and Statistics, vol.53, no.5, pp.1218-1237, 2024 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 53 Issue: 5
  • Publication Date: 2024
  • Doi Number: 10.15672/hujms.1219010
  • Journal Name: Hacettepe Journal of Mathematics and Statistics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Page Numbers: pp.1218-1237
  • Keywords: hemi-slant Riemannian map, hemi-slant submersion, Hermitian manifold, pointwise hemi-slant Riemannian map, Riemannian map, slant Riemannian map
  • Uşak University Affiliated: No

Abstract

In 2022, the notion of pointwise slant Riemannian maps were introduced by Y. Gündüzalp and M. A. Akyol in [J. Geom. Phys. 179, 104589, 2022] as a natural generalization of slant Riemannian maps, slant Riemannian submersions, slant submanifolds. As a generalization of pointwise slant Riemannian maps and many subclasses notions, we introduce pointwise hemi-slant Riemannian maps (briefly, PHSRM) from almost Hermitian manifolds to Riemannian manifolds, giving a figure which shows the subclasses of the map and a non-trivial (proper) example and investigate some properties of the map, we deal with their properties: the J-pluriharmonicity, the J-invariant, and the totally geodesicness of the map. Finally, we study some curvature relations in complex space form, involving Chen inequalities and Casorati curvatures for PHSRM, respectively.