The Bakry-Emery Ricci tensor and its applications to some compactness theorems

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Limoncu M.

MATHEMATISCHE ZEITSCHRIFT, vol.271, no.3-4, pp.715-722, 2012 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 271 Issue: 3-4
  • Publication Date: 2012
  • Doi Number: 10.1007/s00209-011-0886-7
  • Journal Name: MATHEMATISCHE ZEITSCHRIFT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.715-722
  • Keywords: Laplacian of distance function, Index form, Diameter estimate
  • Anadolu University Affiliated: Yes

Abstract

Let (M, g) be a complete and connected Riemannian manifold of dimension n. By using the Bakry-Emery Ricci curvature tensor on M, we prove two theorems which correspond to the Myers compactness theorem.