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Note on a theorem of Gromoll-Grove

Published online by Cambridge University Press:  17 April 2009

Grant Cairns  and
Richard H. Escobales Jr
Grant Cairns
Affiliation:
School of Mathematics, La Trobe University, Melbourne Vic. 3083, Australia, e-mail: G.Cairns@latrobe.edu.au
Richard H. Escobales Jr
Affiliation:
Department of Mathematics, Canisius College, Buffalo, NY 14208, United States of America, e-mail: escobalr@gort.canisius.edu
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Abstract

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D. Gromoll and K. Grove showed that metric flows on constant curvature spaces are either flat or locally spanned by Killing vector fields. We generalise this result to certain flows on manifolds of variable curvature.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 55 , Issue 1 , February 1997 , pp. 1 - 5
Copyright
Copyright © Australian Mathematical Society 1997

References

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