Journal of Geometry

, 109:20 | Cite as

A compactness theorem in Riemannian manifolds

  • Yasemin Soylu


In this paper, we use the m-Bakry–Émery Ricci tensor on a complete n-dimensional Riemannian manifold to obtain a compactness theorem including a diameter estimate. The proof is based on the Riccati comparison theorem.


Diameter estimate Distance function Riccati comparison theorem 

Mathematics Subject Classification

Primary 53C20 53C21 


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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of MathematicsGiresun UniversityGiresunTurkey

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