Results 261 to 270 of about 613,404 (287)

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 and weakly Ricci-symmetric \(K\)-contant manifolds

2000
The notions of weakly symmetric and weakly Ricci-symmetric Riemannian manifolds were given and studied by \textit{L. Tamássy and T. Q. Binh} [Proc. Coll. Differential geometry and its applications, Eger 1989, North. Holland Publ. Comp., Colloq. Math. Soc. János Bolyai 56, 663--670 (1992; Zbl 0791.53021)].
De, U. C., Tran, Quoc Binh, Shaikh, A. A.   +2 more
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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 semiconformally symmetric manifolds

Acta Mathematica Hungarica, 2018
The object of the present paper is to study weakly semiconformally symmetric manifolds (WSCS)n. At first some geometric properties of (WSCS)n (n > 2) have been studied. Finally, we consider the decomposability of (WSCS)n.
U. C. De, Y. J. Suh
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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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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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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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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 manifolds

Publicationes Mathematicae Debrecen, 1995
A nonflat Riemannian manifold \(V^n\) is called weakly symmetric (w.s.) if \(\nabla_r R_{hijk}=A_r R_{hijk}+B_h R_{rijk}+C_i R_{hrjk}+D_jR_{hirk}+E_k R_{hijr}\) [see \textit{T. Q. Binh} and \textit{L. Tamássy}, Colloq. Math. Soc. János Bolyai 56, 663-670 (1992; Zbl 0791.53021), \textit{T. Q. Binh}, Publ. Math. 42, No. 1-2, 103-107 (1993; Zbl 0797.53041)
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WITHDRAWN: On weakly symmetric and weakly Ricci-symmetric Kenmotsu manifolds

Applied Mathematics Letters, 2007
Lovejoy S. Das, Mohd. Nazrul Islam Khan
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