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Homothetic maps of distinguishing space-times
Published online by Cambridge University Press: 17 April 2009
Abstract
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