Results 31 to 40 of about 1,179 (183)
Comparison Geometry for an Extension of Ricci Tensor [PDF]
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Azami, Shahroud +2 more
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η-Ricci Solitons on Quasi-Sasakian Manifolds
The object of the present paper is to study η-Ricci solitons in a 3-dimensional non-cosymplectic quasi-Sasakian manifolds. We study a particular type of second order parallel tensor in this manifold.
Ghosh Sujit
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Ricci Curvature, Isoperimetry and a Non-additive Entropy
Searching for the dynamical foundations of Havrda-Charvát/Daróczy/ Cressie-Read/Tsallis non-additive entropy, we come across a covariant quantity called, alternatively, a generalized Ricci curvature, an N-Ricci curvature or a Bakry-Émery-Ricci curvature ...
Nikos Kalogeropoulos
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Estimating the trace-free Ricci tensor in Ricci flow [PDF]
An important and natural question in the analysis of Ricci flow singularity formation in dimensions four and above is as follows: What are the weakest conditions that provide control of the norm of the Riemann curvature tensor? In this short note, we show that on a compact manifold, the trace-free Ricci tensor is controlled in a precise fashion by the ...
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The Weyl tensor of gradient Ricci solitons [PDF]
42 ...
Cao, Xiaodong, Tran, Hung
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Ricci Solitons in β-Kenmotsu Manifolds
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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Ricci tensor of real hypersurfaces [PDF]
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Weyl, curvature, ricci, and metric tensor symmetries [PDF]
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]
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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Kropina Metrics with Isotropic Scalar Curvature
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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