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THE SASAKI–RICCI FLOW

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
openaire   +3 more sources

On the Ricci–Bourguignon flow

International Journal of Mathematics, 2020
In this paper, we study the Ricci–Bourguignon flow of all locally homogenous geometries on closed three-dimensional manifolds. We also consider the evolution of the Yamabe constant under the Ricci–Bourguignon flow. Finally, we prove some results for the Bach-flat shrinking gradient soliton to the Ricci–Bourguignon flow.
openaire   +2 more sources

Discrete Surface Ricci Flow

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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Numerical Ricci–DeTurck flow

Numerische Mathematik, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

On the Ricci curvature of Kähler-Ricci flow

2022
In this thesis, we consider n-dimensional compact Kähler manifold X with semi-ample canonical line bundle. We investigate the bound of Ricci curvature of X along the long time solution of Kähler Ricci Flow. In particular, when the fibres of X over the canonical model X can of X are biholomorphic to each other and the Kodaira dimension ...
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Combinatorial Ricci flows for ideal circle patterns

Advances in Mathematics, 2021
Bobo Hua, ZE ZHOU
exaly  

Perelman's entropy on ancient Ricci flows

Journal of Functional Analysis, 2021
Yongjia Zhang
exaly  

Branched combinatorial p-th Ricci flows on surfaces

Rendiconti Del Circolo Matematico Di Palermo, 2022
exaly  

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