Results 271 to 280 of about 4,657,305 (302)
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University Lecture Series, 2020
This book gives an introduction to fundamental aspects of generalized Riemannian, complex, and K\"ahler geometry. This leads to an extension of the classical Einstein-Hilbert action, which yields natural extensions of Einstein and Calabi-Yau structures ...
M. Garcia‐Fernandez, J. Streets
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This book gives an introduction to fundamental aspects of generalized Riemannian, complex, and K\"ahler geometry. This leads to an extension of the classical Einstein-Hilbert action, which yields natural extensions of Einstein and Calabi-Yau structures ...
M. Garcia‐Fernandez, J. Streets
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Smoothing a measure on a Riemann surface using Ricci flow
, 2021We formulate and solve the existence problem for Ricci flow on a Riemann surface with initial data given by a Radon measure as volume measure. The theory leads us to a large class of new examples of nongradient expanding Ricci solitons, including the ...
P. Topping, Hao Yin
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Ricci flow smoothing for locally collapsing manifolds
Calculus of Variations and Partial Differential Equations, 2020We show that for certain locally collapsing initial data with Ricci curvature bounded below, one could start the Ricci flow for a definite period of time.
S. Huang, B. Wang
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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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Network Alignment by Discrete Ollivier-Ricci Flow
International Symposium Graph Drawing and Network Visualization, 2018In this paper, we consider the problem of approximately aligning/matching two graphs. Given two graphs \(G_{1}=(V_{1},E_{1})\) and \(G_{2}=(V_{2},E_{2})\), the objective is to map nodes \(u, v \in G_1\) to nodes \(u',v'\in G_2\) such that when u, v have ...
Chien-Chun Ni +3 more
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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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