Some remarks on R-contact flows Article

Rukimbira, P. (1993). Some remarks on R-contact flows . ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 11(2), 165-171. 10.1007/BF00773454

cited authors

  • Rukimbira, P

authors

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. © 1993 Kluwer Academic Publishers.

publication date

  • May 1, 1993

published in

Digital Object Identifier (DOI)

start page

  • 165

end page

  • 171

volume

  • 11

issue

  • 2