On Pointwise k-Slant Submanifolds of Almost Contact Metric Manifolds

Year 2023, Volume: 16 Issue: 1, 254 - 265, 30.04.2023

Adara M. Blaga Dan Radu Latcu

https://doi.org/10.36890/iejg.1274538

Abstract

We establish some properties of the $k$-slant and pointwise $k$-slant submanifolds of an almost contact metric manifold with a special view towards the integrability of the component distributions. We prove some results for totally geodesic pointwise $k$-slant submanifolds. Furthermore, we obtain some nonexistence results for pointwise $k$-slant submanifolds in the almost contact metric setting.

Keywords

Pointwise $k$-slant submanifold, almost contact metric manifold, integrable distribution, totally geodesic submanifold

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