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The canonical geodesic involution and harmonic spaces

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Publication:789012
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DOI10.1007/BF02329741zbMath0532.53015OpenAlexW1996842962MaRDI QIDQ789012

Lieven Vanhecke

Publication date: 1983

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02329741


zbMATH Keywords

mean curvatureharmonic spacesgeodesic spherepower-series expansion


Mathematics Subject Classification ID

Local Riemannian geometry (53B20)


Related Items (3)

A new formula for the shape operator of a geodesic sphere and its applications ⋮ A Generalization of a Theorem on Naturally Reductive Homogeneous Spaces ⋮ Two-point functions on Riemannian manifolds



Cites Work

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  • A conjecture of Besse on harmonic manifolds
  • Comparison theorems for the volumes of tubes as generalizations of the Weyl tube formula
  • A theorem of E. Hopf
  • A note on Harmonic Spaces
  • 1-Harmonic Spaces are Harmonic
  • The Volumes of Tubes about Curves in a Riemannian Manifold
  • Differential geometry of geodesic spheres.


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