CR-slant warped product submanifolds in nearly Kenmotsu manifold

Document Type : Research Paper

Authors

1 Department of Mathematics, Jnana Bharathi campus, Bangalore University, Bangalore, India

2 Department of Mathematics, Jnana Bharathi Campus, Bangalore University, Bangalore, India

Abstract

This paper investigates CR-slant warped product submanifolds of the form B×fNθ within a nearly Kenmotsu manifold. Here, B is a CR-product submanifold, Nθ is a slant submanifold and f denotes the warping function. We derive an inequality that relates the squared norm of the second fundamental form to the warping function, considering the behavior of the structure vector field. Additionally, the cases of equality are also explored. Finally, we establish several geometrical consequences of our main theorem.

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Main Subjects


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