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

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Limoncu M.

MATHEMATISCHE ZEITSCHRIFT, cilt.271, sa.3-4, ss.715-722, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 271 Sayı: 3-4
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1007/s00209-011-0886-7
  • Dergi Adı: MATHEMATISCHE ZEITSCHRIFT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.715-722
  • Anahtar Kelimeler: Laplacian of distance function, Index form, Diameter estimate
  • Anadolu Üniversitesi Adresli: Evet

Özet

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.