Cohomogeneity One Manifolds with Positive Ricci Curvature
, 2007 One of the central problems in Riemannian geometry is to determine how large the classes of manifolds with positive/nonnegative sectional-, Ricci- or scalar curvature are (see [Gr]).
Karsten Grove, Wolfgang Ziller
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Poincaré inequality for one-forms on four manifolds with bounded Ricci curvature. [PDF]
Arch MathHonda S, Mondino A.
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Network Geometry of Borsa Istanbul: Analyzing Sectoral Dynamics with Forman-Ricci Curvature. [PDF]
Entropy (Basel)Akgüller Ö +3 more
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ORCO: Ollivier-Ricci Curvature-Omics-an unsupervised method for analyzing robustness in biological systems. [PDF]
BioinformaticsSimhal AK +7 more
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Ricci curvature: An economic indicator for market fragility and systemic risk. [PDF]
Sci Adv, 2016 Sandhu RS, Georgiou TT, Tannenbaum AR.
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On the Dimension of the Singular Set of Perimeter Minimizers in Spaces with a Two-Sided Bound on the Ricci Curvature. [PDF]
J Geom AnalCucinotta A, Fiorani F.
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Intrinsic Flat and Gromov-Hausdorff Convergence of Manifolds with Ricci Curvature Bounded Below. [PDF]
J Geom Anal, 2017 Matveev R, Portegies JW.
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HK-DeepIV: heat-kernel geometric diagnostics and early-warning signals for curvature-induced interference in financial correlation networks. [PDF]
Front Big DataMoroke ND.
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A Review on the Geometry of the Conharmonic Curvature Tensor of Almost Hermitian and Almost Contact Metric Manifolds. [PDF]
MethodsXAbood HM, AlHusseini FH.
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Ricci flow : curvature concentration and Sobolev bounds
In this dissertation, we study the Ricci flow and its applications on manifolds that have small enough scale-invariant integral curvature (so-called "curvature concentration") relative to its Sobolev bounds.
Martens, Adam
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