Scalar and Ricci curvatures of special contact slant submanifolds in Sasakian space forms. (English) Zbl 1334.53052
The authors prove a Chen inequality involving the scalar curvature and a Chen-Ricci inequality for special contact slant submanifolds of Sasakian space forms. The inequalities are the contact versions of the inequalities obtained by the first author in [Result. Math. 55, No. 3–4, 457–468 (2009; Zbl 1180.53060)] and by both authors in [Taiwanese J. Math. 16, No. 2, 761–770 (2012; Zbl 1262.53051)], respectively.
Reviewer: Zbigniew Olszak (Wrocław)
MSC:
53C40 | Global submanifolds |
53C25 | Special Riemannian manifolds (Einstein, Sasakian, etc.) |
53D15 | Almost contact and almost symplectic manifolds |