Abstract
In this paper, we establish two sharp inequalities for the normalized δ-Casorati curvatures of submanifolds in a Kenmotsu space form, tangent to the structure vector field of the ambient space.Moreover, we show that in both cases the equality at all points characterizes the totally geodesic submanifolds.
Acknowledgements
The authors would like to thank the referee for his thorough review and for very useful comments and suggestions that helped to improve the clarity and the relevance of this paper. The third author was supported by National Research Council - Executive Agency for Higher Education Research and Innovation Funding (CNCS-UEFISCDI), project number PN-II-ID-PCE-2011-3-0118.
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