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Encyclopedia :
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Myers theorem |
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Myers theoremMyers theorem is a classical theorem in Riemannian geometry.It states that if Ricci curvature of a complete Riemannian manifold is bounded below by , then its diameter is at most , in particular any such manifold is compact and it has finite fundamental group. Moreover, if the diameter is equal to , then the manifold is isometric to a sphere of a constant sectional curvature k.
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