Geodesic
Pointwise semi-slant Riemannian (PSSR) maps from almost Hermitian manifolds
Filomat, Tome 37 (2023) no. 13, p. 4271

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DOI

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. Şahin, 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.
DOI : 10.2298/FIL2313271G
Classification : 53C15, 53B40
Keywords: Kaehler manifold, Riemannian map, pointwise semi-slant submersion, pointwise semi-slant submanifold, semi-slantfunction, Chen-Ricci inequality, Casorati curvature, pointwise semi-slant Riemannian map 
Yılmaz Gündüzalp; Mehmet Akif Akyol. Pointwise semi-slant Riemannian (PSSR) maps from almost Hermitian manifolds. Filomat, Tome 37 (2023) no. 13, p. 4271 . doi: 10.2298/FIL2313271G
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     title = {Pointwise semi-slant {Riemannian} {(PSSR)} maps from almost {Hermitian} manifolds},
     journal = {Filomat},
     pages = {4271 },
     year = {2023},
     volume = {37},
     number = {13},
     doi = {10.2298/FIL2313271G},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2313271G/}
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