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On totally umbilical hypersurfaces of weakly projective symmetric spaces

, 2013
Summary: The object of the present paper is to study the totally umbilical hypersurfaces of weakly projective symmetric spaces and it is shown that the totally umbilical hypersurfaces of a weakly projective symmetric space are also weakly projective symmetric spaces.
Hui, Shyamal Kumar, Zengin, Füsun Özen
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Common Fixed Point Results for Occasionally Weakly Compatible Maps in G-Symmetric Spaces [PDF]

Applied Mathematics, 2014
The notion of a G-symmetric space is introduced and the common fixed points for some pairs of occasionally weakly compatible maps satisfying some contractive conditions in a G-symmetric space are proved.
Eke, Kanayo Stella, Olaleru, J.O.
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On weakly Ricci symmetric spaces

Publicationes Mathematicae Debrecen, 2002
The authors deal with the special case of Riemannian spaces, namely weakly Ricci symmetric spaces (WRS). These are given by some conditions on the first covariant derivative of the curvature tensor (of the Levi-Civita connection). The definition of the WRS leads to a number of limitations of the curvature.
De, U. C., Ghosh, Samir Kumar
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On weakly conformally symmetric spaces

Publicationes Mathematicae Debrecen, 2000
The authors introduce the notion of weakly conformally symmetric spaces denoted by \((\text{WCS})_n\), where \(n>3\), establish the existence of \((\text{WCS})_n\) spaces by an example and study the decomposability of such spaces.
De, U. C., Bandyopadhyay, S.
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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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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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