Pseudo-Sasakian manifolds endowed with a contact conformal connection

• Main Authors: Vladislav V. Goldberg, Radu Rosca
• Format: Article
• Language: English
• Published: Hindawi Limited 1986-01-01
• Series: International Journal of Mathematics and Mathematical Sciences
• Subjects: Witt frame; CICR submanifold; relative contact infinitesimal transformation; U-contact concircular pairing; differential form of Godbillon-Vey; form of E. Cartan; Finslerian form; mechanical system; dynamical system; spray; CR product.
• Online Access: http://dx.doi.org/10.1155/S0161171286000881

Pseudo-Sasakian manifolds M˜(U,ξ,η˜,g˜) endowed with a contact conformal connection are defined. It is proved that such manifolds are space forms M˜(K), K<0, and some remarkable properties of the Lie algebra of infinitesimal transformations of the principal vector field U˜ on M˜ are discussed. Properties of the leaves of a co-isotropic foliation on M˜ and properties of the tangent bundle manifold TM˜ having M˜ as a basis are studied.