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Some remarks on R-contact flows

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Abstract

Let (M, α) be an R-contact manifold, then the set of periodic points of the characteristic vector field is a nonempty union of closed, totally geodesic odd-dimensional submanifolds. Moreover, the R-metric cannot have nonpositive sectional curvature. We also prove that no R-contact form can exist on any torus.

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Authors and Affiliations

  1. Department of Mathematics, Florida International University, 33199, Miami, Florida, USA

    Philippe Rukimbira

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  1. Philippe Rukimbira
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Rukimbira, P. Some remarks on R-contact flows. Ann Glob Anal Geom 11, 165–171 (1993). https://doi.org/10.1007/BF00773454

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  • DOI: https://doi.org/10.1007/BF00773454

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