Geodesic
Generic QR-submanifolds of quaternion Kaehler manifolds
Amine Yilmaz1 ; Deniz Poyraz1 ; Bayram Sahin1 ; Amine Yilmaz ; Deniz Poyraz ; Bayram Sahin
1Ege University, Department of Mathematics, Izmir, Turkey
Acta mathematica Universitatis Comenianae, Tome 90 (2021) no. 3, pp. 341-351 
Amine Yilmaz; Deniz Poyraz; Bayram Sahin; Amine Yilmaz; Deniz Poyraz; Bayram Sahin. Generic QR-submanifolds of quaternion Kaehler manifolds. Acta mathematica Universitatis Comenianae, Tome 90 (2021) no. 3, pp. 341-351. http://geodesic.mathdoc.fr/item/AMUC_2021_90_3_a7/
@article{AMUC_2021_90_3_a7,
     author = {Amine Yilmaz and Deniz Poyraz and Bayram Sahin and Amine Yilmaz and Deniz Poyraz and Bayram Sahin},
     title = { Generic {QR-submanifolds} of quaternion {Kaehler} manifolds},
     journal = {Acta mathematica Universitatis Comenianae},
     pages = {341--351},
     year = {2021},
     volume = {90},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2021_90_3_a7/}
}
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Voir la notice de l'article provenant de la source Comenius University

In this article, generic QR-submanifolds of a quaternion Kaehler manifold are introduced as a generalization of QR-submanifolds and real hypersurfaces of a quaternion Kaehler manifold. Examples of such submanifolds are given, the geometry of the distributions on the submanifold is examined, and mixed geodesic generic QR-submanifolds, a special kind of geodesicity, are investigated. Finally, the main properties of totally umbilical and totally geodesic generic QR-submanifolds are explored.