Some remarks on R-contact flows |
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| Authors: | Philippe Rukimbira |
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| Institution: | (1) Department of Mathematics, Florida International University, 33199 Miami, Florida, USA |
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| Abstract: | Let (M,  ) 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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| Keywords: | R-contact nonpositive sectional curvature harmonic forms |
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