Exploration into C-parallel curves shows conditions for θi-slant curves in homothetic s-th Sasakian manifolds, suggesting deeper geometric insights.
This paper explores C-parallel and C-proper curves within the tangent and normal bundles of homothetic s-th Sasakian manifolds. We establish the necessary and sufficient conditions foir ?-slant curves to belong to these specific classes. To solidify our theoretical results, we present three concrete examples using parametric equations on a homothetic s-th Sasakian manifold, each satisfying the derived theorems.
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Güvenç et al. (2025) studied this question.
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