Abstract
Recently, B.-Y. Chen estabished a general relationship between Ricci curvature and the mean curvature vector of a submanifold in Riemannian manifolds. Later, the same inequality was derived for other structures, but not for warped products. In this paper, we derive Chen-Ricci inequality for warped product semi-slant submanifolds in Kenmotsu space forms. Many applications are given.
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Mustafa, A., Uddin, S. & Al-Solamy, F.R. Chen–Ricci inequality for warped products in Kenmotsu space forms and its applications. RACSAM 113, 3585–3602 (2019). https://doi.org/10.1007/s13398-019-00718-0
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DOI: https://doi.org/10.1007/s13398-019-00718-0
Keywords
- Sectional curvature
- Mean curvature
- k-Ricci curvature
- Dirichlet energy
- Isometric immersion
- \({{\mathfrak {D}}}\)-minimal immersion
- Warped product
- Semi-slant submanifold
- Kenmotsu space form