Modifications of the Ricci tensor and applications

Limoncu M.

ARCHIV DER MATHEMATIK, vol.95, no.2, pp.191-199, 2010 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 95 Issue: 2
  • Publication Date: 2010
  • Doi Number: 10.1007/s00013-010-0150-0
  • Journal Name: ARCHIV DER MATHEMATIK
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.191-199
  • Keywords: Myers-type theorem, Index form, Bochner technique, Vanishing theorem
  • Anadolu University Affiliated: Yes

Abstract

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