Shape operator of slant submanifolds in Kenmotsu space forms (Q816608)

From MaRDI portal





scientific article; zbMATH DE number 5010567
Language Label Description Also known as
English
Shape operator of slant submanifolds in Kenmotsu space forms
scientific article; zbMATH DE number 5010567

    Statements

    Shape operator of slant submanifolds in Kenmotsu space forms (English)
    0 references
    0 references
    0 references
    0 references
    9 March 2006
    0 references
    In submanifold theory for real space forms, \textit{B.-Y. Chen} gave relations between curvature and shape operator [Glasg. Math. J. 38, No. 1, 87--97 (1996; Zbl 0866.53038)]. The authors establish similar relations between the sectional curvature and the shape operator and also between \(k\)-Ricci curvature and the shape operator for slant submanifolds in Kenmotsu space forms.
    0 references
    0 references
    shape operator
    0 references
    curvature
    0 references

    Identifiers