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Archiv der Mathematik

, Volume 95, Issue 2, pp 191–199 | Cite as

Modifications of the Ricci tensor and applications

  • Murat LimoncuEmail author
Article

Abstract

By using two modified Ricci tensors, we prove some theorems which correspond to Myers’s diameter estimate theorem and Bochner’s vanishing theorem.

Keywords

Myers-type theorem Index form Bochner technique Vanishing theorem 

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Copyright information

© Springer Basel AG 2010

Authors and Affiliations

  1. 1.Department of MathematicsAnadolu UniversityEskişehirTurkey

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