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Homothetic maps of distinguishing space-times

Published online by Cambridge University Press:  17 April 2009

Jin-Hwan Kim
Jin-Hwan Kim
Affiliation:
Department of Mathematics, College of Science, Yeungnam University, P.O. Box 713–749, Kyungsan, Korea
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Abstract

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We show that if (M, g) is a distinguishing space-time, then any distance homothetic map from (M, g) onto arbitrary space-time (M′, g′) is a homothetic map; in particular, every distance preserving map is an isometry.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 42 , Issue 3 , December 1990 , pp. 483 - 486
Copyright
Copyright © Australian Mathematical Society 1990

References

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