Results 61 to 70 of about 71,420 (241)
Steady Ricci solitons with horizontally ϵ-pinched Ricci curvature
Science China Mathematics, 2020 Corollary 3.11 is ...
Deng, Yuxing, Zhu, Xiaohua
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AIMS MathematicsThe Ricci curvature in Finsler geometry naturally generalizes the Ricci curvature in Riemannian geometry. In this paper, we study the -th root metric with weakly isotropic scalar curvature and obtain that its scalar curvature must vanish.
Xiaoling Zhang, Cuiling Ma, Lili Zhao
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Degree theory for 4‐dimensional asymptotically conical gradient expanding solitons
Communications on Pure and Applied Mathematics, EarlyView.Abstract We develop a new degree theory for 4‐dimensional, asymptotically conical gradient expanding solitons. Our theory implies the existence of gradient expanding solitons that are asymptotic to any given cone over S3$S^3$ with non‐negative scalar curvature. We also obtain a similar existence result for cones whose link is diffeomorphic to S3/Γ$S^3/\
Richard H. Bamler, Eric Chen
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Stability of China’s Stock Market: Measure and Forecast by Ricci Curvature on Network
Complexity, 2023 The systemic stability of a stock market is one of the core issues in the financial field. The market can be regarded as a complex network whose nodes are stocks connected by edges that signify their correlation strength.
Xinyu Wang +4 more
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Journal of Biophotonics, EarlyView.HyperProbe1.1 enables rapid, label‐free biochemical mapping of freshly resected meningiomas. By quantifying endogenous biomarkers such as cytochrome c oxidase, hemoglobin derivatives, and lipids, the system reveals molecular signatures consistent with tumor grading and generates spatial maps that visualize metabolic and vascular heterogeneity across ...
Pietro Ricci +13 more
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Rigidity of almost Ricci solitons on compact Riemannian manifolds
AIMS MathematicsConsidering an almost Ricci soliton (ARS) $ \left(N, g, \eta, \kappa \right) $ on a compact Riemannian manifold $ (N, g) $, we use the Ricci curvature in the direction of the potential vector field $ \eta $ to derive necessary and sufficient conditions ...
Mohammed Guediri, Norah Alshehri
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Synthetic versus distributional lower Ricci curvature bounds [PDF]
, 2022 Michael Kunzinger +2 more
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River Research and Applications, EarlyView.ABSTRACT Accurately predicting open‐channel flow under complex conditions remains a challenge. This study introduces a novel synergetic self‐adaptive data assimilation (DA) framework, using a proportional‐integral‐derivative (PID) controller to dynamically calibrate the bed roughness parameter ks in a shallow‐water equation model (via the momentum ...
M. Almetwally Ahmed, S. Samuel Li
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Isotropic Curvature and the Ricci Flow [PDF]
International Mathematics Research Notices, 2009 A compact Riemannian manifold of any dimension \(n\geq 4\), has nonnegative isotropic curvature if \[ \mathbb{K}(x,e_1,\dots, e_n):= R_{1313}+R_{1414}+R_{2323}+R_{2424}- 2R_{1234}\geq 0 \] holds for any orthonormal frame \(\{e_1, \dots ,e_n\}\). The author proves that the Ricci flow \(\frac{\partial}{\partial t}g_{ij}=-2R_{ij}\), preserves nonnegative ...
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World Journal of Surgery, EarlyView.Question: What is the efficacy of adjuvant therapy in resected invasive IPMN? Findings: This meta‐analysis showed that patients with invasive IPMN do not benefit from adjuvant therapy (HR 1.21, 95% IC: 0.81−1.79). A subgroup analysis showed that node‐positive patients have an improved OS (HR 1.86; 95% CI 1.39; 2.47, p < 0.001).
Carlo Ingaldi +9 more
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