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Comersions and 1-connectedness

Published online by Cambridge University Press:  24 October 2008

F. J. Flaherty
F. J. Flaherty
Affiliation:
Oregon State University
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Abstract

A generalization of the notion of Riemannian submersion is given for submersions of a Lorentzian manifold onto a Riemannian manifold of one lower dimension. These maps are called comersions. A comersion induces a surjection of the space of causal curves in the domain manifold onto curves of bounded length in the image manifold. Thus if the source space is causally 1-connected, the target space is 1-connected.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 81 , Issue 1 , January 1977 , pp. 143 - 147
Copyright
Copyright © Cambridge Philosophical Society 1977

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References

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