Results 91 to 100 of about 283,922 (217)
Charting cellular differentiation trajectories with Ricci flow
Nature CommunicationsComplex biological processes, such as cellular differentiation, require intricate rewiring of intra-cellular signalling networks. Previous characterisations revealed a raised network entropy underlies less differentiated and malignant cell states.
Anthony Baptista +2 more
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Қарағанды университетінің хабаршысы. Математика сериясыIn the present paper sets related to invariant Riemannian metrics of positive sectional and (or) Ricci curvature on generalized Wallach spaces are considered.
N.A. Abiev
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Isometric immersions into three‐dimensional unimodular metric Lie groups
Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.Abstract We study isometric immersions of surfaces into simply connected three‐dimensional unimodular Lie groups endowed with either Riemannian or Lorentzian left‐invariant metrics, assuming that Milnor's operator is diagonalizable in the Lorentzian case.
Ildefonso Castro +2 more
wiley +1 more source
Metric spaces with small rough angles and the rectifiability of rough self‐contracted curves
Journal of the London Mathematical Society, Volume 114, Issue 3, September 2026.Abstract The small rough angle (SRA$\operatorname{SRA}$) condition, introduced by Zolotov in arXiv:1804.00234, captures the idea that all angles formed by triples of points in a metric space are small. In the first part of the paper, we develop the theory of metric spaces (X,d)$(X,d)$ satisfying the SRA(α)$\operatorname{SRA}(\alpha)$ condition for some
Estibalitz Durand Cartagena +1 more
wiley +1 more source
Augmentations of Forman’s Ricci curvature and their applications in community detection
Journal of Physics: ComplexityThe notion of curvature on graphs has recently gained traction in the networks community, with the Ollivier–Ricci curvature (ORC) in particular being used for several tasks in network analysis, such as community detection.
Lukas Fesser +4 more
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η-Ricci Solitons on Sasakian 3-Manifolds
Annals of the West University of Timisoara: Mathematics and Computer Science, 2017 In this paper we study η-Ricci solitons on Sasakian 3-manifolds. Among others we prove that an η-Ricci soliton on a Sasakian 3-manifold is an η-Einstien manifold.
Majhi Pradip +2 more
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Mixing and concentration by Ricci curvature
Journal of Functional Analysis, 2016 38 pages, 1 figure.
openaire +3 more sources
Surface subgroups for cocompact lattices of isometries of H2n$\mathbb {H}^{2n}$
Journal of Topology, Volume 19, Issue 3, September 2026.Abstract We prove the existence of surface subgroups within any cocompact lattice Γ$\Gamma$ in SO(2n,1)$\mathrm{SO}(2n,1)$ for n⩾2$n\geqslant 2$. This result addresses the cases missing from the work of Hamenstädt in 2015, who constructed surface subgroups in cocompact lattices for all other rank‐1 simple Lie groups of noncompact type.
Jeremy Kahn, Zhenghao Rao
wiley +1 more source
Concentration of Measure and Ricci Curvature [PDF]
, 2012 In 1917, Paul Levy proved his classical isoperimetric inequality on the N-dimensional sphere. In the 1970's, Mikhail Gromov extended this inequality to all Riemannian manifolds with Ricci curvature bounded below by that of The N-sphere. Around the same
Benty, Ryan, Ryan Benty
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Orbifolds with Lower Ricci Curvature Bounds [PDF]
, 1997 We show that the first betti number of a compact Riemannian orbifold with Ricci curvature and diameter is bounded above by a constant , depending only on dimension, curvature and diameter. In the case when the orbifold has nonnegative Ricci curvature, we
Borzellino, Joseph E.
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