Results 51 to 60 of about 100,495 (211)
Local pinching estimates in 3-dim Ricci flow
, 2013 We study curvature pinching estimates of Ricci flow on complete 3- dimensional manifolds without bounded curvature assumption. We will derive some general curvature conditions which are preserved on any complete solution of 3-dim Ricci flow, these ...
Chen, Bing-Long +2 more
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A modified Kähler–Ricci flow [PDF]
Mathematische Annalen, 2009 In this note, a modified K hler-Ricci flow is introduced and studied. The main point is to show the flexibility of K hler-Ricci flow and summarize some useful techniques.
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$${\epsilon}$$ ϵ -regularity for shrinking Ricci solitons and Ricci flows [PDF]
Geometric and Functional Analysis, 2017 Comment: 22 ...
Ge, Huabin, Jiang, Wenshuai
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Parabolic Frequency on Ricci Flows
International Mathematics Research Notices, 2022 AbstractThis paper defines a parabolic frequency for solutions of the heat equation on a Ricci flow and proves its monotonicity along the flow. Frequency monotonicity is known to have many useful consequences; here it is shown to provide a simple proof of backwards uniqueness.
Baldauf, Julius, Kim, Dain
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Advanced Engineering Materials, EarlyView.This study investigates innovative thermoreversible hydrogels derived from S53P4 bioactive glass extracts to aid in the healing of infected diabetic foot wounds. These injectable gels, which gel at body temperature, release beneficial ions and remain stable over time.
Marian G. Vargas Guerrero +9 more
wiley +1 more source
Evolution of a geometric constant along the Ricci flow
Journal of Inequalities and Applications, 2016 In this paper, we establish the first variation formula of the lowest constant λ a b ( g ) $\lambda_{a}^{b}(g)$ along the Ricci flow and the normalized Ricci flow, such that to the following nonlinear equation there exist positive solutions: − Δ u + a u ...
Guangyue Huang, Zhi Li
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Propagation of symmetries for Ricci shrinkers
Advanced Nonlinear Studies, 2023 We will show that if a gradient shrinking Ricci soliton has an approximate symmetry on one scale, this symmetry propagates to larger scales. This is an example of the shrinker principle which roughly states that information radiates outwards for ...
Colding Tobias Holck +1 more
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Stability of hyperbolic space under Ricci flow
, 2010 We study the Ricci flow of initial metrics which are C^0-perturbations of the hyperbolic metric on H^n. If the perturbation is bounded in the L^2-sense, and small enough in the C^0-sense, then we show the following: In dimensions four and higher, the ...
Schnürer, Oliver C. +2 more
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Advanced Intelligent Systems, EarlyView.Four decades of retinal vessel segmentation research (1982–2025) are synthesized, spanning classical image processing, machine learning, and deep learning paradigms. A meta‐analysis of 428 studies establishes a unified taxonomy and highlights performance trends, generalization capabilities, and clinical relevance.
Avinash Bansal +6 more
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PMC Physics A, 2007 15 pages. V2: improved presentation, in particular Jordan vs. Brans-Dicke and on viability. Added section on physical interpretation. V3: more references.
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