Slant and semi-slant submanifolds in metallic Riemannian manifolds

Abstract

The aim of our paper is to focus on some properties of slant and semi-slant submanifolds of metallic Riemannian manifolds. We give some characterizations for submanifolds to be slant or semi-slant submanifolds in metallic or Golden Riemannian manifolds and we obtain integrability conditions for the distributions involved in the semi-slant submanifolds of Riemannian manifolds endowed with metallic or Golden Riemannian structures. Examples of semi-slant submanifolds of the metallic and Golden Riemannian manifolds are given.

References in corpus (1)

• On the geometry of almost Golden Riemannian manifolds

Cited by in corpus (7)

• Hemi-slant submanifolds in metallic Riemannian manifolds
• Warped product submanifolds in metallic Riemannian manifolds
• Screen Transversal Lightlike Submanifolds of Golden Semi-Riemannian Manifolds
• On the Geometry of Lightlike Submanifolds in Metallic Semi-Riemannian Manifolds
• Slant submanifolds of Golden Riemannian manifolds
• Lightlike Submanifolds of Metallic Semi-Riemannian Manifolds
• Warped product pointwise bi-slant submanifolds in metallic Riemannian manifolds