Results 1 to 10 of about 4,592,853 (197)
Matrix Li-Yau-Hamilton estimates under Ricci flow and parabolic frequency. [PDF]
Calc Var Partial Differ Equ, 2023 We prove matrix Li–Yau–Hamilton estimates for positive solutions to the heat equation and the backward conjugate heat equation, both coupled with the Ricci flow.
Li X, Zhang QS.
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Yamabe constant evolution and monotonicity along the conformal Ricci flow
AIMS Mathematics, 2022 We investigate the Yamabe constant's behaviour in a conformal Ricci flow. For conformal Ricci flow metric g(t), t∈[0,T), the time evolution formula for the Yamabe constant Y(g(t)) is derived.
Yanlin Li +3 more
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Community Detection on Networks with Ricci Flow. [PDF]
Sci Rep, 2019 Many complex networks in the real world have community structures – groups of well-connected nodes with important functional roles. It has been well recognized that the identification of communities bears numerous practical applications.
Ni CC, Lin YY, Luo F, Gao J.
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Charting cellular differentiation trajectories with Ricci flow
Nature Communications, 2023 Complex biological processes, such as cellular differentiation, require intricate rewiring of intra-cellular signalling networks. Previous characterisations revealed a raised network entropy underlies less differentiated and malignant cell states.
Anthony Baptista +2 more
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Cobordism, singularities and the Ricci flow conjecture [PDF]
Journal of High Energy Physics, 2023 In the following work, an attempt to conciliate the Ricci flow conjecture and the Cobordism conjecture, stated as refinements of the Swampland distance conjecture and of the No global symmetries conjecture respectively, is presented.
David Martín Velázquez +2 more
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The spinorial energy for asymptotically Euclidean Ricci flow [PDF]
Advanced Nonlinear Studies, 2023 This article introduces a functional generalizing Perelman’s weighted Hilbert-Einstein action and the Dirichlet energy for spinors. It is well defined on a wide class of noncompact manifolds; on asymptotically Euclidean manifolds, the functional is shown
Baldauf Julius, Ozuch Tristan
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High genus surface parameterization using the Euclidean Ricci flow method [PDF]
Scientific ReportsThe parameterization of surfaces, which is related to many frontier problems in mathematics, has long been a challenge for scientists and engineers.
Yuan-guang Wang
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The Soliton-Ricci Flow with variable volume forms
Complex Manifolds, 2016 We introduce a flow of Riemannian metrics and positive volume forms over compact oriented manifolds whose formal limit is a shrinking Ricci soliton. The case of a fixed volume form has been considered in our previouswork.We still call this new flow, the ...
Pali Nefton
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Deep learning as Ricci flow [PDF]
Scientific ReportsDeep neural networks (DNNs) are powerful tools for approximating the distribution of complex data. It is known that data passing through a trained DNN classifier undergoes a series of geometric and topological simplifications.
Anthony Baptista +5 more
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Rotational symmetry of ancient solutions to the Ricci flow in higher dimensions [PDF]
Geometry & Topology, 2023 We extend the second part of \cite{Bre18} on the uniqueness of ancient $\kappa$-solutions to higher dimensions. We show that for dimensions $n \geq 4$ every noncompact, nonflat, complete, ancient solution of the Ricci flow that is uniformly PIC and ...
Simon Brendle, Keaton Naff
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