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Register a new userTwo classes of pseudo-Ricci-symmetric contact metric three manifolds
صفان من المنطويات المترية التلامسية ثلاثية الأبعاد شبه المتناظرة جزئيا و من نمط ريشي
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Damascus University ورقة بحثية
Publication date
2008
fields
Mathematics
and research's language is
العربية
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Shamra Editor
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ندرس في هذا البحث صفين (صنفين) من المنطويات المترية التلامسية ثلاثية البعد M, حيث نوجد في البداية الشرط اللازم و الكافي حتى يكون المنطوي المتري التلامسي منطويـاً ريـشي (Ricci) شـبه متناظر جزئياً من النمط الثابت. ثم نوجد بعد ذلك علاقتين يجب أن يحققهما المنطوي المتـري التلامـسي ثلاثي البعد و من النمط _ (n,m, k) ليكون منطوياً ريشياً شبه متناظر جزئياً و من النمط الثابت.
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
Calvaruso, G.; Perrone, D. (2002). Semi-Symmetric contact metric Threemanifolds. Yokohama Mathematical J.vol. 49, 151-161
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In this paper we study some classes of partially pseudo symmetric contact
three-manifolds .
In sections 3 −1 and 3 − 2 we find necessary and sufficient conditions for
a contact metric three-manifolds to be partially pseudo symmetric of the first
and second type respectively .
In this article we study the contact metric three-manifolds M 3 satisfying
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