Results 51 to 60 of about 63,399 (238)
Ricci Solitons in β-Kenmotsu Manifolds
Annals of the West University of Timisoara: Mathematics and Computer Science, 2018 The object of the present paper is to study Ricci soliton in β-Kenmotsu manifolds. Here it is proved that a symmetric parallel second order covariant tensor in a β-Kenmotsu manifold is a constant multiple of the metric tensor.
Kumar Rajesh
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Alignment and algebraically special tensors in Lorentzian geometry [PDF]
, 2004 We develop a dimension-independent theory of alignment in Lorentzian geometry, and apply it to the tensor classification problem for the Weyl and Ricci tensors. First, we show that the alignment condition is equivalent to the PND equation.
A. COLEY +9 more
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Ricci tensor of real hypersurfaces [PDF]
Pacific Journal of Mathematics, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Weyl, curvature, ricci, and metric tensor symmetries [PDF]
International Journal of Theoretical Physics, 1996 The authors consider Weyl collineations (vector fields \(X\) satisfying \({\mathcal L}_X C^a_{bcd} = 0\) where \(C\) is the Weyl tensor -- the authors use, somewhat unconventionally, the symbol \(W\) for the Weyl tensor) on spacetimes. Many of the results in this short paper are either trivial or known. The authors say that no serious classification of
Bokhari, Ashfaque H. +2 more
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Submanifolds with parallel Ricci tensor [PDF]
Kodai Mathematical Journal, 1988 The author gives a classification of submanifolds of a Riemannian manifold of constant sectional curvature having parallel Ricci tensor, parallel mean curvature vector field and trivial normal connection. A corollary is the classification of 2-codimensional Einstein submanifolds of a Riemannian manifold of constant sectional curvature having parallel ...
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A symmetric 2-tensor canonically associated to Q-curvature and its applications
, 2016 In this article, we define a symmetric 2-tensor canonically associated to Q-curvature called J-tensor on any Riemannian manifold with dimension at least three.
Lin, Yueh-Ju, Yuan, Wei
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Kropina Metrics with Isotropic Scalar Curvature
Axioms, 2023 In this paper, we study Kropina metrics with isotropic scalar curvature. First, we obtain the expressions of Ricci curvature tensor and scalar curvature. Then, we characterize the Kropina metrics with isotropic scalar curvature on by tensor analysis.
Liulin Liu, Xiaoling Zhang, Lili Zhao
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Generalized Gravity and a Ghost
, 2005 We show that generalized gravity theories involving the curvature invariants of the Ricci tensor and the Riemann tensor as well as the Ricci scalar are equivalent to multi- scalar-tensor gravities with four derivatives terms.
Aragone C +13 more
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symmetries of the Ricci tensor of static space times with maximal symmetric transverse spaces
, 2006 Static space times with maximal symmetric transverse spaces are classified according to their Ricci collineations. These are investigated for non-degenerate Ricci tensor ($det.(R_{\alpha}) \neq 0$).
A.Z. Petro +4 more
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Advanced Science, EarlyView.This work shows, for the first time, that the stereocilia membrane in cochlear hair cells is dynamically regulated by the mechanotransduction channel to impact the membrane mechanical properties. This work provides direct evidence that the opening and closing associated with the MET channel is regulating the membrane viscosity suggesting that the MET ...
Shefin S. George, Anthony J. Ricci
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