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Additive volume invariants of Riemannian manifolds. (English) Zbl 0454.53031

MSC:
53C20 Global Riemannian geometry, including pinching
53C30 Differential geometry of homogeneous manifolds
Citations:
Zbl 0437.53025
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References:
[1] Courant, R. & Hilbert, D.,Methods of mathematical physics, Vol. 2. Interscience, 1962. · Zbl 0099.29504
[2] Gray, A., The volume of a small geodesic ball of a Riemannian manifold.Michigan Math. J., 20 (1973), 329–344. · Zbl 0279.58003
[3] –, Geodesic balls in Riemannian product manifolds inDifferential Geometry and Relativity (in honor of A. Lichnerowicz). Reidel Publ. Co., Dordrecht, 1976, 63–66.
[4] Gray, A. &Vanhecke, L., Riemannian geometry as determined by the volume of small geodesic balls.Acta Math., 142 (1979), 157–198. · Zbl 0428.53017
[5] Gray, A. & Willmore, T. J., Mean-value theorems for Riemannian manifolds. To appear. · Zbl 0495.53040
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