Resumen de The length of curvature tensor for Riemannian manifold with parallel Ricci curvature tensor

Jianfeng Zhang

• In this paper, we study compact Riemannian manifolds with �Þ2Ric=0, and estab- lish a pinching theorem for the square of the length of Riemannian curvature tensor.

  When n . 10, the pinching constant is sharp.