On Riemannian almost product manifolds with nonintegrable structure

TL;DR

This paper studies Riemannian almost product manifolds with nonintegrable structures, deriving identities for curvature tensors and invariant quantities to better understand their geometric properties.

Contribution

It introduces new curvature identities and invariants for nonintegrable Riemannian almost product manifolds, expanding the theoretical framework.

Findings

Derived identities for curvature tensors

Identified invariant tensors and quantities

Enhanced understanding of nonintegrable structures

Abstract

The class of the Riemannian almost product manifolds with nonintegrable structure is considered. Some identities for curvature tensor as certain invariant tensors and quantities are obtained.