Pointwise Quasi Hemi-Slant submanifolds of metallic Riemannian manifolds

This paper introduces pointwise quasi hemi-slant submanifolds in metallic Riemannian manifolds, a new class that naturally generalizes quasi hemi-slant, hemi-slant, semi-slant, slant, and pointwise slant submanifolds. We explore their basic properties, including distribution integrability and total geodesy conditions, and construct examples to demonstrate their existence.