Results 201 to 210 of about 71,917 (238)

A Sharp Quantitative Alexandrov Inequality and Applications to Volume Preserving Geometric Flows in 3D. [PDF]

Arch Ration Mech Anal
Julin V, Morini M, Oronzio F, Spadaro E.
europepmc   +1 more source

The Curvature Operator of the Second Kind in Dimension Three. [PDF]

J Geom Anal
Fluck H, Li X.
europepmc   +1 more source

Rigidity of min–max minimal disks in 3-balls with non-negative Ricci curvature

Laurent Mazet, Abraão Mendes
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Applications of Fast Iterative Filtering in NMR Spectroscopy: Baseline Correction. [PDF]

Magn Reson Chem
Fiorucci L, Bruno F, Ricci M, Cicone A, Ravera E.   +4 more
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Vulnerability Analysis Method Based on Network and Copula Entropy. [PDF]

Entropy (Basel)
Chen M, Liu J, Zhang N, Zheng Y.
europepmc   +1 more source

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Bounded Ricci curvature and positive scalar curvature under Ricci flow

Pacific Journal of Mathematics, 2023
The authors consider a compact smooth Riemannian manifold \((M,g)\) without boundary, and its Ricci flow, which is a smooth family of metrics \( (g(t))_{t\geq 0}\) satisfying \(\partial _{t}g(t)=-2\mathrm{Ric}(g(t))\), where \(\mathrm{Ric}(g(t))\) denotes the Ricci curvature tensor of \(g(t)\), with the initial condition \(g(0)=g\).
Kröncke, Klaus, Marxen, Tobias, Vertman, Boris   +2 more
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Weighted Ricci Curvature

2021
In Part I, we saw that the natural notions of Finsler curvatures (the flag and Ricci curvatures) can be introduced through the behavior of geodesics, and then several comparison theorems follow smoothly by similar arguments to the Riemannian case, or through the characterizations of these curvatures from the Riemannian geometric point of view.
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Riemann Curvature and Ricci Curvature

2012
Curvatures are the central concept in geometry. The notion of curvature introduced by B. Riemann faithfully reveals the local geometric properties of a Riemann metric. This curvature is called the Riemann curvature in Riemannian geometry. The Riemann curvature can be extended to Finsler metrics as well as the sectional curvature.
Xinyue Cheng, Zhongmin Shen
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The Pressure of Ricci Curvature

Geometriae Dedicata, 2003
If \(f\: SM \to \mathbb R\) is a continuous function on the sphere bundle of a closed Riemannian manifold \((M^n,g)\), the \textit{topological pressure} \(P(f)\) is defined by \(P(f) = \sup_{\mu \in M(\Phi)} \left(h_\mu + \int_{SM} f\, d\mu\right)\), where \(M(\Phi)\) is the set of all \(\Phi\)-invariant Borel probability measures (\(\Phi\) being the ...
Paternain, Gabriel P., Petean, Jimmy
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