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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.S. ahin, Pointwise slant submersions, Bulletin of the Korean Mathematical Sosiety, 51(4), (2014), 115-1126. and pointwise slant Riemannian maps Y. G?nd?zalp 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.
Gündüzalp et al. (Sun,) studied this question.