Reducible Riemannian manifolds with conformal product structures

Key Points

• The study reveals that compact reducible Riemannian manifolds can be either conformally flat or structured as triple products.
• Under specific technical assumptions, the underlying Riemannian manifolds can be classified into two distinct types.
• This research provides key insights into the nature of conformal product structures in the context of Riemannian geometry.
• Understanding these geometric structures can lead to new developments in the field of differential geometry.