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Symmetric-like Riemannian manifolds and geodesic symmetries

Published online by Cambridge University Press:  14 November 2011

Jürgen Berndt ,
Friedbert Prüfer  and
Lieven Vanhecke
Jürgen Berndt
Affiliation:
Mathematisches Institut, Universität zu Köln, Weyertal 86-90, 50931 Köln, Germany
Friedbert Prüfer
Affiliation:
Fachbereich Mathematik/Informatik, Universität Leipzig, Augustusplatz 10, 04109 Leipzig, Germany
Lieven Vanhecke
Affiliation:
Department of Mathematics, Katholieke Universiteit Leuven, Celestijnenlaan 200 B, 3001 Leuven, Belgium
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Abstract

We treat several classes of Riemannian manifolds whose shape operators of geodesic spheres or Jacobi operators share some properties with the ones on symmetric spaces.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 125 , Issue 2 , 1995 , pp. 265 - 282
Copyright
Copyright © Royal Society of Edinburgh 1995

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