Results 191 to 200 of about 912,180 (214)
Ricci Lower Bound for Kähler–Ricci Flow [PDF]
Communications in Contemporary Mathematics, 2014 We provide general discussion on the lower bound of Ricci curvature along Kähler–Ricci flows over closed manifolds. The main result is the non-existence of Ricci lower bound for flows with finite time singularities and non-collapsed global volume. As an application, we give examples showing that positivity of Ricci curvature would not be preserved by ...
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The Ricci Flow for Nilmanifolds
Journal of Modern Dynamics, 2010 We consider the Ricci flow for simply connected nilmanifolds, which translates to a Ricci flow on the space of nilpotent metric Lie algebras. We consider the evolution of the inner product and the evolution of structure constants, as well as the evolution of these quantities modulo rescaling.
Tracy Payne
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Renormalization Group and the Ricci Flow [PDF]
Milan Journal of Mathematics, 2010 30 pages, 16 PNG figures, Conference talk at the Riemann International School of Mathematics: Advances in Number Theory and Geometry, Verbania April 19-24, 2009- Proceedings to appear in Milan Journal of Mathematics (Birkhauser)
Mauro Carfora
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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.
Feng Luo, Xianfeng Gu, Miao Jin
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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.
Feng Luo, Xianfeng Gu, Miao Jin
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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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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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Some Local Maximum Principles Along Ricci Flows
Canadian Journal of Mathematics, 2022Luen-Fai Tam, Man Chun
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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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Proceedings of the International Congress of Mathematicians 2026 - Volume 2: Plenary Lectures, 2010
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