On three-dimensional quasi-Sasakian manifolds admitting semi-symmetric metric connection
Author(s) -
Yadav Sunil,
Lee D
Publication year - 2013
Publication title -
international journal of the physical sciences
Language(s) - English
Resource type - Journals
ISSN - 1992-1950
DOI - 10.5897/ijps2013.3867
Subject(s) - connection (principal bundle) , riemann curvature tensor , curvature , conformal map , ricci decomposition , metric tensor , mathematics , manifold (fluid mechanics) , weyl tensor , curvature of riemannian manifolds , mathematical analysis , metric (unit) , pure mathematics , weyl transformation , ricci curvature , scalar curvature , sectional curvature , geometry , conformal symmetry , mechanical engineering , operations management , engineering , economics , geodesic
The object of the present paper is to study three-dimensional quasi-Sasakian manifold equipped with semi-symmetric metric connection. The geometrical properties of conformal curvature tensor and the conservative quasi-conformal curvature tensor are discussed with such connection. Among other we have deal the conservative properties of quasi-conformal curvature with respect to semi-symmetric metric connection. Key words: Quasi-Sasakian manifold, conformal curvature tensor, quasi-conformal curvature tensor.
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