Pseudo-Sasakian manifolds endowed with a contact conformal connection

Vladislav V. Goldberg and Radu Rosca

International Journal of Mathematics and Mathematical Sciences, 1986, vol. 9, 1-15

Abstract:

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 T M ˜ having M ˜ as a basis are studied.

Date: 1986
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:483565

DOI: 10.1155/S0161171286000881

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