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

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.