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On weakly symmetric Riemannian spaces

Publicationes Mathematicae Debrecen, 1999
Weakly symmetric spaces \((WS)_n\) are those Riemannian spaces in which the covariant derivative of the curvature tensor is a general linear expression of the curvature tensor and several vector fields (this is a generalization of locally symmetric spaces).
De, U. C., Bandyopadhyay, Somnath
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Righteous isometries of weakly symmetric spaces

Sbornik: Mathematics, 2002
The aim of this paper is to describe all righteous diffeomorphisms (isometrices) of weakly symmetric homogeneous spaces of simple Lie groups. First the concept of a righteous diffeomorphism of a Riemannian manifold \({\mathcal M}\) is introduced.
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On weakly symmetric spaces with semi-symmetric metric connection

Publicationes Mathematicae Debrecen, 2005
Summary: The notions of weakly symmetric and weakly projective symmetric spaces were introduced by \textit{L. Tamássy} and \textit{T. Q. Binh} [Coll. Math. Soc. János Bolyai 56, 663--670 (1992; Zbl 0791.53021)] and an example of the modified form of weakly symmetric Riemannian spaces was constructed by \textit{U. C. De} and \textit{S.
Uysal, S. Aynur, Laleoğlu, R. Özlem
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Weakly compact embeddings of symmetric spaces

Siberian Mathematical Journal, 1987
\textit{B. Beauzamy} [Espaces d'interpolation reels: Topologie et géometrie, Lect. Notes Math. 666 (1978; Zbl 0382.46021)] has shown that if \(E\subseteq F\), \((E,F)_{\theta q}\) is reflexive if the imbedding \(j: E\to F\) is weakly compact. The author gives conditions for weak compactness of imbeddings for the Lorentz symmetric spaces \(\Lambda_{\phi}
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Commutative Spaces Which are Not Weakly Symmetric

Bulletin of the London Mathematical Society, 1998
A connected Riemannian manifold \(M\) is said to be weakly symmetric if for any two points \(p,q\in M\) there exists an isometry of \(M\) mapping \(p\) to \(q\) and \(q\) to \(p\). This notion was introduced by \textit{A. Selberg} in [J. Indian Math. Soc., n. Ser. 20, 47--87 (1956; Zbl 0072.08201)]. This is not the original definition given by Selberg,
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An Algebraic Approach to Weakly Symmetric Finsler Spaces

Canadian Journal of Mathematics, 2010
AbstractIn this paper, we introduce a new algebraic notion, weakly symmetric Lie algebras, to give an algebraic description of an interesting class of homogeneous Riemann-Finsler spaces, weakly symmetric Finsler spaces. Using this new definition, we are able to give a classification of weakly symmetric Finsler spaces with dimensions 2 and 3.
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Compact Weakly Symmetric Spaces and Spherical Pairs [PDF]

open access: yesProceedings of the American Mathematical Society, 2000
Let ( G , H ) (G,H)
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On weakly symmetric Riemannian spaces

Publicationes Mathematicae Debrecen, 1993
A Riemannian space \(V_ n\) is locally symmetric if \(\nabla R = 0\). Consecutive weakening of this gives \(V_ n\) with recurrent curvature, pseudo-symmetric (p.s.) \(V_ n\) [\textit{M. C. Chaki}, An. Ştiinţ. Univ. Al. I. Cuza Iaşi, Nouv. Sér., Secţ. Ia 33, No. 1, 53-58 (1987; Zbl 0626.53037)], and weakly symmetric (w.s.) \(V_ n\) [\textit{L.
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Weakly Ricci-Symmetric Space-Times and f (R,G) Gravity

open access: yesMathematics
In the present article, we classify conformally flat weakly Ricci-symmetric space-times and obtain that they represent Robertson–Walker space-times. Furthermore, we provethat a Ricci-recurrent weakly Ricci-symmetric space-time is static and a Ricci-semi-symmetric weakly Ricci-symmetric space-time does not exist. Further, we acquire the conditions under
Uday Chand De, Yanlin Li
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The Space of Continuous Linear Functionals on ℓ1 Approximated by Weakly Symmetric Continuous Linear Functionals

open access: yesSymmetry
We study the space of continuous linear functionals approximated by weakly symmetric continuous linear functionals on the complex Banach space ℓ1 of all absolutely summing complex sequences. We construct the sequence of groups of symmetries on ℓ1, obtain the structure of corresponding weakly symmetric continuous linear functionals, find the completion ...
Taras Vasylyshyn, Andriy Zagorodnyuk
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