Special CR maximal dimensional submanifolds in the Kenmotsu space forms

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Norouzi Samaneh; Ilmakchi Mohammad

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Journal Paper

Paper Information

Journal: Journal of Finsler Geometry and its Applications Year:2024 | Volume:5 | Issue:2 Page(s): 127-142

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Information Journal Paper

Title

Special CR maximal dimensional submanifolds in the Kenmotsu space forms

Author(s)

Norouzi Samaneh | Ilmakchi Mohammad | Issue Writer Certificate

Keywords

CR maximal dimensional submanifolds

Kenmotsu manifolds

Kenmotsu Space Form.

Abstract

The (n + 1)-dimensional almost metric contact submanifolds wuth maximal CR− submanifolds of (n − 1) in the Kenmotsu space forms classified such that n > 5 and h(F X, Y ) − h(X, F Y ) = g(F X, Y )ζ for vector fields X, Y tangent to M, where h and F denote the second fundamental form and a skewsymmetric endomorphism acting on the tangent space of M, respectively, and ζ a non zero normal vector field to M.

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