Affiliation:
1. Department of Mathematics, Dicle University, Diyarbakır, Türkiye
2. Department of Mathematics, Faculty of Art and Sciences, Bing¨ol University, Bingöl, Türkiye
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.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.
Publisher
National Library of Serbia
Reference60 articles.
1. R. Abraham, J.E. Marsden and T. Ratiu, Manifolds, Tensor Analysis and Applications, Applied Mathematical Sciences, Vol. 75. Springer, New York, 1988.
2. M.A. Akyol and B. Şahin, Conformal anti-invariant Riemannian maps to Kahler manifolds, U.P.B. Sci. Bull., Series A, Vol. 80, Iss. 4, 2018.
3. M.A. Akyol and B. Şahin, Conformal semi-invariant Riemannian maps to Kahler manifolds, Revista de la Union Matematica Argentina, 60(2), 2019, 459-468.
4. M. A. Akyol and B. Şahin, Conformal slant Riemannian maps to Kahler manifolds, Tokyo J. Math. 42(1), 225-237, (2019).
5. M. E. Aydın, A. Mihai, I. Mihai, Some Inequalities on submanifolds in statistical manifolds of constant curvature, Filomat 29 (2015), no. 3, 465-477.
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献