Results 211 to 220 of about 3,177,995 (232)
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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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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.
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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.
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Communications in Mathematical Physics, 2007 In this paper, we study the change of the ADM mass of an ALE space along the Ricci flow. Thus we first show that the ALE property is preserved under the Ricci flow. Then, we show that the mass is invariant under the flow in dimension three (similar results hold in higher dimension with more assumptions).
Xianzhe Dai
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Numerische Mathematik, 2014
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On the Ricci curvature of Kähler-Ricci flow
2022In 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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Fractal diffusion from a geometric Ricci flow
Journal of Elliptic and Parabolic Equations, 2022Rami Ahmad El-Nabulsi
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Weak scalar curvature lower bounds along Ricci flow
Science China Mathematics, 2023Wenshuai Jiang
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Ricci Flow for 3D Shape Analysis
IEEE Transactions on Pattern Analysis and Machine Intelligence, 2010Xianfeng Gu, Dimitris Samaras
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The Logarithmic Sobolev and Sobolev Inequalities Along the Ricci Flow
Communications in Mathematics and Statistics, 2015Rugang Ye
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The unified discrete surface Ricci flow
Graphical Models, 2014Xianfeng Gu, Shing-Tung Yau, Ren Guo
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