Results 41 to 50 of about 63,399 (238)
On Some Ricci Curvature Tensors in Finsler Geometry
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Sengelen Sevim, Esra +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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On the nonsymmetric purely affine gravity [PDF]
We review the vacuum purely affine gravity with the nonsymmetric connection and metric. We also examine dynamical effects of the second Ricci tensor and covariant second-rank tensors constructed from the torsion tensor in the gravitational Lagrangian ...
Antoci S. +45 more
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Complete Riemannian manifolds with Killing — Ricci and Codazzi — Ricci tensors
The purpose of this paper is to prove of Liouville type theorems, i. e., theorems on the non-existence of Killing — Ricci and Codazzi — Ricci tensors on complete non-compact Riemannian manifolds. Our results complement the two classical vanishing theorems from the last chapter of famous Besse’s monograph on Einstein manifolds.
S.E. Stepanov, I. I. Tsyganok, J. Mikeš
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Comparison Geometry for an Extension of Ricci Tensor [PDF]
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Azami, Shahroud +2 more
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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]
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Cao, Xiaodong, Tran, Hung
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Some integrability conditions for almost K\"ahler manifolds
Among other results, a compact almost K\"ahler manifold is proved to be K\"ahler if the Ricci tensor is semi-negative and its length coincides with that of the star Ricci tensor or if the Ricci tensor is semi-positive and its first order covariant ...
Alexandrov +29 more
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Monotone Volume Formulas for Geometric Flows [PDF]
We consider a closed manifold M with a Riemannian metric g(t) evolving in direction -2S(t) where S(t) is a symmetric two-tensor on (M,g(t)). We prove that if S satisfies a certain tensor inequality, then one can construct a forwards and a backwards ...
Feldman M. +4 more
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