Slesar, VladimirSahin, BayramVilcu, Gabriel-Eduard2024-08-042024-08-0420141029-242Xhttps://doi.org/10.1186/1029-242X-2014-123https://hdl.handle.net/11616/96430In this paper we prove two sharp inequalities that relate the normalized scalar curvature with the Casorati curvature for a slant submanifold in a quaternionic space form. Moreover, we show that in both cases, the equality at all points characterizes the invariantly quasi-umbilical submanifolds.eninfo:eu-repo/semantics/openAccessscalar curvaturemean curvatureCasorati curvatureshape operatorquaternionic space formslant submanifoldoptimal inequalityArticle10.1186/1029-242X-2014-1232-s2.0-84899742433Q2WOS:000338219100002Q2