September 2018
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The objective of this paper is to classify totally umbilical slant submanifolds of a (k, µ)-contact manifold. We prove that a totally umbilical slant sub-manifold M of a (k, µ)-contact manifold M is either invariant or anti-invariant or dim M=1 or the mean curvature vector H of M lies in the invariant normal sub bundle. 2010 Mathematics Subject Classification: 53C40, 53C42.