Slant and semi-slant submanifolds in metallic Riemannian manifolds
Cristina E. Hretcanu, Adara M. Blaga
TL;DR
This paper investigates properties and characterizations of slant and semi-slant submanifolds within metallic and Golden Riemannian manifolds, including integrability conditions and illustrative examples.
Contribution
It provides new characterizations and integrability conditions for slant and semi-slant submanifolds in metallic and Golden Riemannian manifolds.
Findings
Characterizations of slant and semi-slant submanifolds
Integrability conditions for distributions
Examples of semi-slant submanifolds
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.
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