Results 121 to 130 of about 9,543 (234)
Neckpinch singularities of Ricci flow
We use asymptotic analysis techniques to analyze Ricci flow asymptotic to a cylinder and prove two results. First, we derive the precise asymptotic behavior of a compact rotationally symmetric Ricci flow near a singularity modeled on the round cylinder ...
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The Revo‐Evo Debate in the History and Philosophy of Science
Natural Sciences, Volume 6, Issue 3, July 2026.The paper juxtaposes revolutionary and evolutionary positions in epistemology in general as well as the history of science. While it deems the evolutionary arguments more persuasive, it also stresses the dependence of our assessment of change on the language we choose to describe the theories and positions under consideration.
Yemima Ben‐Menahem
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Trans-Sasakian 3-Manifolds with Reeb Flow Invariant Ricci Operator
Mathematics, 2018 Let M be a three-dimensional trans-Sasakian manifold of type ( α , β ) . In this paper, we obtain that the Ricci operator of M is invariant along Reeb flow if and only if M is an α -Sasakian manifold, cosymplectic manifold or a
Yan Zhao, Wenjie Wang, Ximin Liu
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Singularities of Connection Ricci Flow and Ricci Harmonic Flow
, 2013 In this paper, we study the singularities of two extended Ricci flow systems --- connection Ricci flow and Ricci harmonic flow using newly-defined curvature quantities. Specifically, we give the definition of three types of singularities and their corresponding singularity models, and then prove the convergence. In addition, for Ricci harmonic flow, we
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Combinatorial Ricci Flows on Surfaces
Journal of Differential Geometry, 2003 We show that the analog of Hamilton's Ricci flow in the combinatorial setting produces solutions which converge exponentially fast to Thurston's circle packing on surfaces. As a consequence, a new proof of Thurston's existence of circle packing theorem is obtained. As another consequence, Ricci flow suggests a new algorithm to find circle packings.
Chow, Bennett, Luo, Feng
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Stability of piecewise flat Ricci flow
, 2023 The stability of a recently developed piecewise flat Ricci flow is investigated, using a linear stability analysis and numerical simulations, and a class of piecewise flat approximations of smooth manifolds is adapted to avoid an inherent numerical ...
Conboye, Rory
core
Approximate Ricci‐Flat Metrics for Calabi–Yau Manifolds
Fortschritte der Physik, Volume 74, Issue 7, July 2026.ABSTRACT We outline a method to determine analytic Kähler potentials with associated approximately Ricci‐flat Kähler metrics on Calabi–Yau manifolds. Key ingredients are numerically calculating Ricci‐flat Kähler potentials via machine learning techniques and fitting the numerical results to Donaldson's ansatz.
Seung‐Joo Lee, Andre Lukas
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About Uniqueness of Steady Ricci Schwarzschild Solitons
AxiomsIn this paper, the uniqueness of steady Schwarzschild gradient Ricci solitons is studied. The role of the weight functions is analyzed. The generalized steady Schwarzschild gradient Ricci solitons are investigated; the implications of the rotational ...
Orchidea Maria Lecian
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Topology of 3-dimensional manifolds [PDF]
ریاضی و جامعهThis is the second paper from a trio which reviews some of the progress in low dimensional topology in the past century. Starting with the work of Poincare in the last years of 19th century and first few years of 20th century, we review the major steps ...
Eaman Eftekhary
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Blue LED Light Attenuates the Bacterial Bioburden in Chronic Wounds Transiently but Dose‐Dependently
Wound Repair and Regeneration, Volume 34, Issue 4, July/August 2026.ABSTRACT Phototherapy may improve chronic wound healing through different mechanisms. We have investigated whether escalating doses of blue LED light treatment (λ = 405 nm) impact the chronic wound microbiota. Twenty‐two patients with chronic wounds were sequentially assigned to a low dose (20 J/cm2, n = 7), medium dose (60 J/cm2, n = 8), or high dose (
Frederik Plum +7 more
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