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Classification of five-dimensional naturally reductive spaces

Published online by Cambridge University Press:  24 October 2008

Oldřich Kowalski  and
Lieven Vanhecke
Oldřich Kowalski
Affiliation:
Faculty of Mathematics and Physics, Charles University, 18600 Praha, Czechoslovakia
Lieven Vanhecke
Affiliation:
Department of Mathematics, Katholieke Universiteit Leuven, B-3030 Leuven, Belgium
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Extract

Naturally reductive homogeneous spaces have been studied by a number of authors as a natural generalization of Riemannian symmetric spaces. A general theory with many examples was well-developed by D'Atri and Ziller[3]. D'Atri and Nickerson have proved that all naturally reductive spaces are spaces with volume-preserving local geodesic symmetries (see [1] and [2]).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 97 , Issue 3 , May 1985 , pp. 445 - 463
Copyright
Copyright © Cambridge Philosophical Society 1985

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References

REFERENCES

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