On the Geometry of Semi-Invariant Submanifolds in (<i>α</i>, <i>p</i>)-Golden Riemannian Manifolds

Abstract

The main aim of this paper is to study some properties of submanifolds in a Riemannian manifold equipped with a new structure of golden type, called the (α, p)-golden structure, which generalizes the almost golden structure (for α=1) and the almost complex golden structure (for α=−1). We present some characterizations of isometrically immersed submanifolds in an (α, p)-golden Riemannian manifold, especially in the case of the semi-invariant submanifolds, and we find some conditions for the integrability of the distributions.

Keywords

• <i>α</i>-structure
• (<i>α</i>, <i>p</i>)-structure
• (<i>α</i>, <i>p</i>)-golden manifold
• semi-invariant submanifold