Riemannian manifolds the geodesic balls of which are near to the Euclidean balls by volume

  • Oldřich Kowalski
Conference paper
Part of the Lecture Notes in Mathematics book series (LNM, volume 838)


Riemannian Manifold Direct Product Symmetric Space Hyperbolic Plane Euclidean Ball 
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    A. Gray, The volume of a small geodesic ball of a Riemannian manifold. Michigan Math.J.20,329–344(1973).MathSciNetzbMATHGoogle Scholar
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    A. Gray and L. Vanhecke, Riemannian geometry as determined by the volumes of small geodesic balls. Acta Math.142,157–198(1979).MathSciNetCrossRefzbMATHGoogle Scholar
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    A.Gray and T.J.Willmore, Mean-value theorems for Riemannian manifolds, preprint (to appear).Google Scholar
  4. [K]
    O.Kowalski, Additive volume invariants of Riemannian manifolds, preprint (to appear in Acta Mathematica 1980"Google Scholar

Copyright information

© Springer-Verlag 1981

Authors and Affiliations

  • Oldřich Kowalski
    • 1
  1. 1.Praha

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