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

• Autores: Jianfeng Zhang
• Localización: Publicationes Mathematicae Debrecen, ISSN 0033-3883, Tomus 78, Fasc. 3-4, 2011, págs. 505-512
• Idioma: inglés
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• Resumen

  • 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.