Odd-dimensional non anti-invariant slant submanifolds of an - Kenmotsu manifold are studied. We relate slant immersions into a Kähler manifold with suitable slant submanifolds of an -Kenmotsu manifold. More generally, in the framework of Chinea-Gonzalez, we specify the type of the almost contact metric structure induced on a slant submanifold, then stating a local classification theorem. The case of austere immersions is discussed. This helps in proving a reduction theorem of the codimension. Finally, slant submanifolds which are generalized Sasakian space-forms are described.
Key Words: slant submanifold, -Kenmotsu manifold, warped product manifold, warped product immersion, generalized Sasakian space-form.
2010 Mathematics Subject Classification: Primary 53C25, Secondary 53C42, 53C15.
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