Warped Product Submanifolds in Locally Golden Riemannian Manifolds with a Slant Factor

Abstract

In the present paper, we study some properties of warped product pointwise semi-slant and hemi-slant submanifolds in Golden Riemannian manifolds, and we construct examples in Euclidean spaces. Additionally, we study some properties of proper warped product pointwise semi-slant (and, respectively, hemi-slant) submanifolds in a locally Golden Riemannian manifold.

Keywords

• Golden Riemannian structure
• warped product submanifold
• pointwise slant
• semi-slant
• hemi-slant
• bi-slant submanifold