Pseudo-Sasakian manifolds endowed with a contact conformal connection

Pseudo-Sasakian manifolds endowed with a contact conformal connection

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. Pr...

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Bibliographic Details
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
Description
Summary: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.
ISSN:0161-1712
1687-0425

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