Results 201 to 210 of about 1,732 (226)
Existence of Ricci Flows of Incomplete Surfaces [PDF]
Communications in Partial Differential Equations, 2011 We prove a general existence result for instantaneously complete Ricci flows starting at an arbitrary Riemannian surface which may be incomplete and may have unbounded curvature.
Peter Topping
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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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Ancient and expanding spin ALE Ricci flows
Journal of Functional AnalysisWe classify spin ALE ancient Ricci flows and spin ALE expanding solitons with suitable groups at infinity. In particular, the only spin ancient Ricci flows with groups at infinity in $SU(2)$ and mild decay at infinity are hyperkähler ALE metrics.
Tristan Ozuch
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A rigidity result for ancient Ricci flows
Mathematische ZeitschriftUsing a size condition of the sharp log Sobolev functional (log entropy) near infinity only, we prove a rigidity result for ancient Ricci flows without sign condition on the curvatures.
Qi S Zhang, Zhang Qi S
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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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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
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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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Branched combinatorial p-th Ricci flows on surfaces
Rendiconti Del Circolo Matematico Di Palermo, 2022Aijin Lin
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Combinatorial Ricci flows for ideal circle patterns
Advances in Mathematics, 2021Huabin Ge, Bobo Hua, Ze Zhou
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