What question did this study set out to answer?

To explore C-parallel and C-proper curves in homothetic s-th Sasakian manifolds and establish conditions for θi-slant curves.

March 15, 2026Open Access

Characterizations of C-parallel and C-proper θi-slant curves in homothetic s-th Sasakian manifolds

Key Points

To explore C-parallel and C-proper curves in homothetic s-th Sasakian manifolds and establish conditions for θi-slant curves.
Analyzed tangent and normal bundles in homothetic s-th Sasakian manifolds.
Derived necessary and sufficient conditions for θi-slant curves.
Presented three examples with parametric equations to illustrate the theorems.
Identified conditions under which θi-slant curves belong to C-parallel and C-proper categories.
Demonstrated insights into the structure of homothetic s-th Sasakian manifolds using specific examples.

Abstract

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.

Characterizations of C-parallel and C-proper θi-slant curves in homothetic s-th Sasakian manifolds

Key Points

Abstract

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