Cioroboiu, Dragoş B.-Y. Chen inequalities for semislant submanifolds in Sasakian space forms. (English) Zbl 1045.53038 Int. J. Math. Math. Sci. 2003, No. 27, 1731-1738 (2003). B.-Y. Chen’s sharp estimation for the sectional curvature of a submanifold in Riemannian space forms in terms of the scalar curvature is extended to semislant submanifolds in space forms. The concept of a semislant submanifold is recalled in the paper. Reviewer: Włodzimierz Waliszewski (Łódź) Cited in 11 Documents MSC: 53C40 Global submanifolds 53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.) Keywords:Sasakian space form; semislant submanifold; slant immersion PDFBibTeX XMLCite \textit{D. Cioroboiu}, Int. J. Math. Math. Sci. 2003, No. 27, 1731--1738 (2003; Zbl 1045.53038) Full Text: DOI EuDML