Results 211 to 220 of about 723,003 (246)

Manifold lateralisation and variability in the language connectome at 7T

Dulyan L, Bortolami C, Chacón EG, Beyh A, de Schotten MT, Forkel S.   +5 more
europepmc   +1 more source

On weakly cyclic Z symmetric manifolds

Acta Mathematica Hungarica, 2014
A Riemannian manifold \((M^n, g)\), \(n > 2\), is called ``weakly cyclic \(Z\) symmetric'' manifold if its non-zero Ricci tensor \(S\) satisfies \[ (\nabla_X S)(U, V) = A(X) S(U, V) + B(U)S(V, X) - D(V) S(X, U), \] where \(A\), \(B\), and \(D\) are \(1\)-forms, \(\nabla\) is the Levi-Civita connection on \(M\) and there exists a non-zero symmetric \((0,
U. C. De, C. A. Mantica, Y. J. Suh
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On Decomposable Weakly Conformally Symmetric Manifolds

Acta Mathematica Hungarica, 2010
Let \((M,g)\) be an \(n\)-dimensional non-flat Riemannian manifold. A tensor \(C\) of type \((0,4)\) is called the conformal curvature tensor if \[ \begin{multlined} C(Y,Z,U,V)=R(Y,Z,U,V)-\frac1{n-2}\left[S(Z,U)g(Y,V)\right.\\ \left.-S(Y,U)g(Z,V)+g(Z,U)S(Y,V)-g(Y,U)S(Z,V)\right]\\ -\frac{r}{(n-1)(n-2)}\left[g(Z,U)g(Y,V)-g(Y,U)g(Z,V)\right], \end ...
Absos Ali Shaikh
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On weakly symmetric generalized trans-sasakian manifold [PDF]

Commentationes Mathematicae, 2015
In this paper, we have defined the weakly symmetric generalized Trans-Sasakian manifold \(G(WS)_n\) and it has been shown that on such manifold if any two of the vector fields \(\lambda,\gamma,\tau\), defined by equation (0.3) are orthogonal to \(\xi\), then the third will also be orthogonal to \(\xi\). We have also proved that the scalar curvature \(r\
Levejoy S. Das, Ram Nivas, Rupali Agnihotri   +2 more
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On weakly projective symmetric manifolds

, 2009
Summary: The object of the present paper is to study weakly projective symmetric manifolds and its decomposability with several non-trivial examples. Among others it is shown that in a decomposable weakly projective symmetric manifold both the decompositions are weakly Ricci symmetric.
Shaikh, A. A., Hui, Shyamal Kumar
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On Decomposable Weakly Conharmonically Symmetric Manifolds

Lobachevskii Journal of Mathematics, 2008
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Shyamal Kumar Hui, Absos Ali Shaikh
exaly   +2 more sources

Some Characterization Results on Generalized Weakly Symmetric Kenmotsu Manifolds

Bulletin of the Iranian Mathematical Society, 2022
The authors consider generalized weakly symmetric Kenmotsu manifolds. They prove that every non-Einstein generalized weakly symmetric Kenmotsu manifold is generalized pseudo-symmetric. They find a necessary condition for a Kenmotsu manifolds to be generalized weakly symmetric, and they give an example of a 5-dimensional Kenmotsu manifold which confirms
Shahroud Azami
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A note on weakly symmetric manifolds

, 2014
Summary: The object of the present paper is to determine the nature of the associated \(1\)-forms of a weakly symmetric manifold.
Mantica, Carlo Alberto, Chand De, Uday
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The Existence of Weakly Symmetric and Weakly Ricci-Symmetric Sasakian Manifolds Admitting a Quarter-Symmetric Metric Connection

Acta Mathematica Hungarica, 2011
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Jai Prakash Jaiswal
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On Special Weakly Ricci-Symmetric Kenmotsu Manifolds

Sarajevo Journal of Mathematics
In this paper, we have studied special weakly Ricci symmetric Kenmotsu manifolds. We show that if a special weakly Riccisymmetric Kenmotsu manifold admits a cyclic parallel Ricci tensor then the associate 1–form $\alpha$ must be zero. On the other hand we show that a special weakly Ricci-symmetric Kenmotsu manifold can not be an Einstein manifold if ...
Nesip Aktan
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