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An application of Morse theory to space-time geometry

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Abstract

Milnor's treatment [6] of Morse's global theory of the calculus of variations for geodesics [7] is restated in the context of space-time geometry: it is seen as providing a link between the curvature and the causal structure of a stably causal globally hyperbolic Lorentzian manifold. An application is discussed.

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Authors and Affiliations

  1. Department of Mathematics, University of London, King's College, WC2, London, England

    N. M. J. Woodhouse

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  1. N. M. J. Woodhouse
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Communicated by J. Ehlers

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Woodhouse, N.M.J. An application of Morse theory to space-time geometry. Commun.Math. Phys. 46, 135–152 (1976). https://doi.org/10.1007/BF01608493

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  • DOI: https://doi.org/10.1007/BF01608493

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