Two classes of pseudo-Ricci-symmetric contact metric three manifolds
published by Damascus University
in 2008
in Mathematics
and research's language is
العربية
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Abstract in English
In this article we study two classes of contact metric three manifolds,
where first we investigate the necessary and sufficient condition for the contact
metric three manifold to be partially pseudo- Ricci-symmmetric manifold of
constant type.
We find also two relations that the 3-dimensional (k,m,n ) _ contact
metric manifold has to satisfy to be partially pseudo- Ricci-symmetric manifold
of constant type.
References used
Binh, T. Q, De, U. C., Tamassy, L. (2002). On partially pseudo symmetric K_contact Riemannian manifold. ActaMathematica academiae paedgogicea Nyiregyhaziensis, 18, 19-25
Blair, D. E. (2002). Riemannian Geometry of Contact and Symplectic Manifolds. Progress in Mathematics. vol 203, Birkhauser, Boston. Basel .Berlin