On bronze Riemannian structures (Q2081184)

The author studies some properties of the bronze Riemannian structure on a manifold \( M\). Using the Tachibana operator, which is applied to pure tensor fields, the integrability condition and the curvature of bronze Riemannian structures are investigated. Some conditions equivalent to integrability of bronze structures are given. Also, an almost product structure determined by a bronze Riemannian structure is found. After that, the twin bronze Riemannian metric is studied. Finally, some examples of bronze structures are given.