International Journal of Mathematics and Mathematical Sciences
Volume 9 (1986), Issue 4, Pages 733-747
Pseudo-Sasakian manifolds endowed with a contact conformal connection
Department of Mathematics, N.J. Institute of Technology, Newark 07102, N.J., USA
Received 30 January 1985
Copyright © 1986 Vladislav V. Goldberg and Radu Rosca. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Pseudo-Sasakian manifolds endowed with a contact conformal connection are defined. It is proved that such manifolds are space forms , , and some remarkable properties of the Lie algebra of infinitesimal transformations of the principal vector field on are discussed. Properties of the leaves of a co-isotropic foliation on and properties of the tangent bundle manifold having as a basis are studied.