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

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Part of the Lecture Notes in Mathematics book series (LNM,volume 838)

Keywords

  • Riemannian Manifold
  • Direct Product
  • Symmetric Space
  • Hyperbolic Plane
  • Euclidean Ball

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References

  1. A. Gray, The volume of a small geodesic ball of a Riemannian manifold. Michigan Math.J.20,329–344(1973).

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  2. A. Gray and L. Vanhecke, Riemannian geometry as determined by the volumes of small geodesic balls. Acta Math.142,157–198(1979).

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  3. A.Gray and T.J.Willmore, Mean-value theorems for Riemannian manifolds, preprint (to appear).

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  4. O.Kowalski, Additive volume invariants of Riemannian manifolds, preprint (to appear in Acta Mathematica 1980"

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© 1981 Springer-Verlag

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Kowalski, O. (1981). Riemannian manifolds the geodesic balls of which are near to the Euclidean balls by volume. In: Ferus, D., Kühnel, W., Simon, U., Wegner, B. (eds) Global Differential Geometry and Global Analysis. Lecture Notes in Mathematics, vol 838. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0088855

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  • DOI: https://doi.org/10.1007/BFb0088855

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10285-4

  • Online ISBN: 978-3-540-38419-9

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