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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.

MSC:

53C40 Global submanifolds
53C25 Special Riemannian manifolds (Einstein, Sasakian, etc.)
53D15 Almost contact and almost symplectic manifolds
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