Results 11 to 20 of about 4,657,305 (302)
The Ricci flow in a class of solvmanifolds [PDF]
Differential Geometry and its Applications, 2013 16 pages, 1 ...
Arroyo, Romina M.
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An introduction to conformal Ricci flow [PDF]
Classical and Quantum Gravity, 2004 52 pages, 1 ...
Arthur E. Fischer
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Uniqueness of the Ricci flow on complete noncompact manifolds [PDF]
, 2006 The Ricci flow is an evolution system on metrics. For a given metric as initial data, its local existence and uniqueness on compact manifolds was first established by Hamilton \cite{Ha1}. Later on, De Turck \cite{De} gave a simplified proof. In the later
Bing-Long Chen, Xi-Ping Zhu
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NONHOLONOMIC RICCI FLOWS AND RUNNING COSMOLOGICAL CONSTANT I: 4D TAUB-NUT METRICS [PDF]
, 2007 In this work we construct and analyze exact solutions describing Ricci flows and nonholonomic deformations of four dimensional (4D) Taub-NUT spacetimes. It is outlined a new geometric techniques of constructing Ricci flow solutions.
Sergiu I. Vacaru, Mihai Visinescu
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Non-local interaction in discrete Ricci curvature-induced biological aggregation [PDF]
Royal Society Open ScienceWe investigate the collective dynamics of multi-agent systems in two- and three-dimensional environments generated by minimizing discrete Ricci curvature with local and non-local interaction neighbourhoods.
Jyotiranjan Beuria, Laxmidhar Behera
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Scalar Curvature, Entropy, and Generalized Ricci Flow [PDF]
International mathematics research notices, 2022 We derive a family of weighted scalar curvature monotonicity formulas for generalized Ricci flow, involving an auxiliary dilaton field evolving by a certain reaction–diffusion equation motivated by renormalization group flow.
J. Streets
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Parabolic Frequency Monotonicity on Ricci Flow and Ricci-Harmonic Flow with Bounded Curvatures [PDF]
Journal of Geometric Analysis, 2022 In this paper, we study the monotonicity of parabolic frequency motivated by Baldauf and Kim (Parabolic frequency on Ricci flows. To appear in Int. Math. Res. Not., rnac128.
C. Li, Yi Li, Kairui Xu
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Weak scalar curvature lower bounds along Ricci flow [PDF]
Science China Mathematics, 2021 In this paper, we study Ricci flow on compact manifolds with a continuous initial metric. It was known from Simon (2002) that the Ricci flow exists for a short time.
Wenshuai Jiang +2 more
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Uniqueness of compact ancient solutions to the higher-dimensional Ricci flow [PDF]
Journal für die Reine und Angewandte Mathematik, 2021 In dimensions n ≥ 4 {n\geq 4} , an ancient κ-solution is a nonflat, complete, ancient solution of the Ricci flow that is uniformly PIC and weakly PIC2; has bounded curvature; and is κ-noncollapsed.
S. Brendle +3 more
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Charting cellular differentiation trajectories with Ricci flow
bioRxiv, 2023 Complex biological processes, such as cellular differentiation, require an intricate rewiring of intra-cellular signalling networks. Previous characterisations of these networks revealed that promiscuity in signalling, quantified by a raised network ...
Anthony Baptista +2 more
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