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Ricci curvature bounds and rigidity for non-smooth Riemannian and semi-Riemannian metrics. [PDF]
Kunzinger M, Ohanyan A, Vardabasso A.
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Minimum Spacetime Length and the Thermodynamics of Spacetime. [PDF]
Rossi V, Cacciatori SL, Pesci A.
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SOD-1/2 Involvement in the Antioxidant Molecular Events Occurring upon Complex Magnetic Fields Application in an <i>In Vitro</i> H<sub>2</sub>O<sub>2</sub> Oxidative Stress-Induced Endothelial Cell Model. [PDF]
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IEEE Transactions on Visualization and Computer Graphics, 2008
This work introduces a unified framework for discrete surface Ricci flow algorithms, including spherical, Euclidean, and hyperbolic Ricci flows, which can design Riemannian metrics on surfaces with arbitrary topologies by user-defined Gaussian curvatures. Furthermore, the target metrics are conformal (angle-preserving) to the original metrics.
Miao, Jin +3 more
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This work introduces a unified framework for discrete surface Ricci flow algorithms, including spherical, Euclidean, and hyperbolic Ricci flows, which can design Riemannian metrics on surfaces with arbitrary topologies by user-defined Gaussian curvatures. Furthermore, the target metrics are conformal (angle-preserving) to the original metrics.
Miao, Jin +3 more
openaire +4 more sources
International Journal of Mathematics, 2010
In this paper, we introduce the Sasaki–Ricci flow to study the existence of η-Einstein metrics. In the positive case any η-Einstein metric can be homothetically transformed to a Sasaki–Einstein metric. Hence it is an odd-dimensional counterpart of the Kähler–Ricci flow. We prove its well-posedness and long-time existence.
Smoczyk, Knut +2 more
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In this paper, we introduce the Sasaki–Ricci flow to study the existence of η-Einstein metrics. In the positive case any η-Einstein metric can be homothetically transformed to a Sasaki–Einstein metric. Hence it is an odd-dimensional counterpart of the Kähler–Ricci flow. We prove its well-posedness and long-time existence.
Smoczyk, Knut +2 more
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Numerische Mathematik, 2014
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Doklady Mathematics, 2015
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2018
Surface Ricci flow is a powerful tool to design Riemannian metric of a surface such that the metric induces a user-defined Gaussian curvature function on the surface. The metric is conformal (i.e., angle-preserving) to the original one of surface. For engineering applications, smooth surfaces are approximated by discrete ones.
Miao Jin +3 more
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Surface Ricci flow is a powerful tool to design Riemannian metric of a surface such that the metric induces a user-defined Gaussian curvature function on the surface. The metric is conformal (i.e., angle-preserving) to the original one of surface. For engineering applications, smooth surfaces are approximated by discrete ones.
Miao Jin +3 more
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