Annals of Global Analysis and Geometry

, Volume 11, Issue 2, pp 165–171

Some remarks on R-contact flows

  • Philippe Rukimbira
Article

DOI: 10.1007/BF00773454

Cite this article as:
Rukimbira, P. Ann Glob Anal Geom (1993) 11: 165. doi:10.1007/BF00773454

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.

Key words

R-contactnonpositive sectional curvatureharmonic forms

MSC 1991

58 F 2258 F 1853 C 15

Copyright information

© Kluwer Academic Publishers 1993

Authors and Affiliations

  • Philippe Rukimbira
    • 1
  1. 1.Department of MathematicsFlorida International UniversityMiamiUSA