Results 251 to 260 of about 4,696,479 (281)
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Ollivier Ricci-flow on weighted graphs
American Journal of Mathematics, 2020:We study the existence of solutions of Ricci flow equations of Ollivier-Lin-Lu-Yau curvature defined on weighted graphs. Our work is motivated by the work of Ni-Lin-Luo-Gao in which the discrete time Ricci flow algorithm has been applied successfully as
Shuliang Bai +4 more
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Pointwise lower scalar curvature bounds for $$C^0$$ metrics via regularizing Ricci flow
Geometric and Functional Analysis, 2019In this paper we propose a class of local definitions of weak lower scalar curvature bounds that is well defined for $$C^0$$ metrics. We show the following: that our definitions are stable under greater-than-second-order perturbation of the metric, that ...
Paula Burkhardt-Guim
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Topological quantum gravity of the Ricci flow
Advances in Theoretical and Mathematical Physics, 2020We present a family of topological quantum gravity theories associated with the geometric theory of the Ricci flow on Riemannian manifolds. First we use BRST quantization to construct a "primitive" topological Lifshitz-type theory for only the spatial ...
A. Frenkel +2 more
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Ancient solutions to the Ricci flow with isotropic curvature conditions
Mathematische Annalen, 2020We show that every n -dimensional, $$\kappa $$ κ -noncollapsed, noncompact, complete ancient solution to the Ricci flow with uniformly PIC for $$n=4$$ n = 4 or $$n\ge 12$$ n ≥ 12 has weakly PIC $$_2$$ 2 and bounded curvature.
J. Cho, Yu Li
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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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Diameter estimates for long-time solutions of the Kähler–Ricci flow
Geometric and Functional Analysis, 2022Wangjian Jian, Jian Song
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Normalized discrete Ricci flow used in community detection
Physica A: Statistical Mechanics and its Applications, 2022Xin Lai, Shuliang Bai, Yong Lin
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Fractal diffusion from a geometric Ricci flow
Journal of Elliptic and Parabolic Equations, 2022R. El-Nabulsi
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The projected homogeneous Ricci flow and its collapses with an application to flag manifolds
Monatshefte für Mathematik (Print), 2022L. Grama +4 more
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Relative volume comparison of Ricci flow
Science China Mathematics, 2021G. Tian, Zhenlei Zhang
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