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Register a new userOn Partially Pseudo Symmetric Contact Metric Three-Manifolds
دراسة حول المنطويات المترية التلامسية ثلاثية الأبعاد شبه المتناظرة جزئياً
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Damascus University ورقة بحثية
Publication date
2008
fields
Civil Engineering
and research's language is
العربية
Authors
سمير أبو عقل( باحث )
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تضمن هذا البحث دراسة بعض صنوف المنطويات المترية التلامسية ثلاثية الأبعاد شبه المتنـاظرة جزئياً. وجدتُ في البداية شروطاً لازمة وكافية حتى يكون منطو متري تلامسي ثلاثي ما شـبه متنـاظر جزئياً من النمط الأول أو الثاني.
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 .
References used
Binh, T. Q; De, U.C., Tamassy, L. (2002). On partially pseudo symmetric κ - contact Riemannian manifolds. Acta Mathematica Academiae Paedgogicae Nyiregyh-aziensis 18, 19-25
Blair, D. E. (2002). Riemannian geometry of Contact and Symmetric Manifolds. Birkauser Boston. Basel. Berlin. Progress in mathematics
(Calvaruso, G.; Perrone, D. (2002). Semi-Symmetric Contact Metric Three- Manifolds Yokohama Mathematical J. Vol 49 (p149-161
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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.
In this article we study the contact metric three-manifolds M 3 satisfying
certain curvature conditions especially ξ (λ ) = const.
in this paper we:
defined Riemannian spaces, conformal mappings, Einstein
spaces, Riemannian symmetric spaces, Ricci spaces and
Ricci symmetric spaces, recall the fundamental properties of
these spaces
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n of being actually present at The scene of action. For a compatible 2-d/3-d colour Tv system The channel bandwidth should be twice That of The standard broadcast Tv channel. The search for ways and means of reducing The required bandwidth without an impairment in The quality of The colour 3-d picture is a major direction in work or such systems.
In this paper, we described tow parallel algorithms for finding the solution of
symmetric pentadiagonal linear systems of equations of order n . The proposed algorithms
require 2 processors; each of both possesses
N
O n local memor
y.
The first algorithm includes writing the pentadiagonal matrix in the form of product
of tow tridiagonal matrices. We suggested a parallel algorithm for solving tridiagonal
linear systems of equations. The second algorithm consists of decomposition of the
pentadiagonal matrix in a form such that we can carry out the resulting linear systems of
equations by using parallel algorithm. We carried out many numerical experiments to
illustrate the efficiency, speeding up and accuracy for solving symmetric pentadiagonal
linear systems of equations. The numerical experiments showed that the proposed
algorithms were efficient and one of both was much faster in factor of 2 than the other one
for solving the same test problems.
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