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