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Projective submersions
Published online by Cambridge University Press: 17 April 2009
Abstract
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We consider C∞ manifolds endowed with torsionfree affine connections and C∞ projective submersions between them which, by definition, map geodesics into geodesics up to parametrisation. After giving a differential characterisation of these mappings, we deal with the case when one of the given connections is projectively flat or satisfies certain conditions concerning its Ricci tensor; under these hypotheses we prove that the projective submersion is actually a covering.
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- Research Article
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- Copyright © Australian Mathematical Society 1991
References
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