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Geodesic spheres and Jacobi vector fields on Sasakian space forms

Published online by Cambridge University Press:  14 November 2011

David E. Blair  and
Lieven Vanhecke
David E. Blair
Affiliation:
Department of Mathematics, Michigan State University, East Lansing, Michigan 48824, U.S.A.
Lieven Vanhecke
Affiliation:
Department of Mathematics, Katholieke Universiteit Leuven, Celestijnenlaan 200 B, B-3030 Leuven, Belgium
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Synopsis

Using explicit equations for Jacobi vector fields on a Sasakian space form, we characterise such spaces by means of the shape operator of small geodesic spheres.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 105 , Issue 1 , 1987 , pp. 17 - 22
Copyright
Copyright © Royal Society of Edinburgh 1987

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