Akyol, Mehmet AkifGunduzalp, Yilmaz2025-02-222025-02-2220242651-477Xhttps://doi.org/10.15672/hujms.1219010https://hdl.handle.net/11468/29642In 2022, the notion of pointwise slant Riemannian maps were introduced by Y. G & uuml;nd & uuml;zalp 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 p ointwise 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.eninfo:eu-repo/semantics/openAccess. Riemannian mapHermitian manifoldslant Riemannian maphemi-slant submersionhemi-slant Riemannian mappointwise hemi-slant Riemannian mapArticle53512181237WOS:0013390692000012-s2.0-8520782218910.15672/hujms.1219010Q2Q2