On Ricci Curvature of a Homogeneous Generalized Matsumoto Finsler Space
Mathematics, 2023 The characterization of Finsler spaces with Ricci curvature is an ancient and cumbersome one. In this paper, we have derived an expression of Ricci curvature for the homogeneous generalized Matsumoto change.
Yanlin Li +3 more
doaj +2 more sources
Detecting network anomalies using Forman–Ricci curvature and a case study for human brain networks
Scientific Reports, 2021 We analyze networks of functional correlations between brain regions to identify changes in their structure caused by Attention Deficit Hyperactivity Disorder (adhd).
Tanima Chatterjee +4 more
doaj +2 more sources
On $m$-th root metrics of isotropic projective Ricci curvature [PDF]
AUT Journal of Mathematics and Computing, 2023 The Ricci curvature is introduced by spray on $M^n$. Sprays are deformed to projective sprays with a volume form $dV$ on $M^n$. The projective Ricci curvature is defined as the expression of Ricci curvature with sprays.
Mehran Gabrani +2 more
doaj +1 more source
Revisiting Over-smoothing and Over-squashing using Ollivier's Ricci Curvature [PDF]
International Conference on Machine Learning, 2022 Graph Neural Networks (GNNs) had been demonstrated to be inherently susceptible to the problems of over-smoothing and over-squashing. These issues prohibit the ability of GNNs to model complex graph interactions by limiting their effectiveness in taking ...
K. Nguyen +5 more
semanticscholar +1 more source
On the existence of isoperimetric regions in manifolds with nonnegative Ricci curvature and Euclidean volume growth [PDF]
Calculus of Variations and Partial Differential Equations, 2021 In this paper we provide new existence results for isoperimetric sets of large volume in Riemannian manifolds with nonnegative Ricci curvature and Euclidean volume growth.
Gioacchino Antonelli +3 more
semanticscholar +1 more source
Weighted Ricci curvature in Riemann-Finsler geometry [PDF]
AUT Journal of Mathematics and Computing, 2021 Ricci curvature is one of the important geometric quantities in Riemann-Finsler geometry. Together with the $S$-curvature, one can define a weighted Ricci curvature for a pair of Finsler metric and a volume form on a manifold.
Zhongmin Shen
doaj +1 more source
Radiometric Constraints on the Timing, Tempo, and Effects of Large Igneous Province Emplacement
Geophysical Monograph Series, Page 27-82., 2021 Exploring the links between Large Igneous Provinces and dramatic environmental impact
An emerging consensus suggests that Large Igneous Provinces (LIPs) and Silicic LIPs (SLIPs) are a significant driver of dramatic global environmental and biological changes, including mass extinctions.
Jennifer Kasbohm +2 more
wiley +3 more sources
Minkowski inequality on complete Riemannian manifolds with nonnegative Ricci curvature [PDF]
Analysis & PDE, 2021 In this paper we consider Riemannian manifolds of dimension at least $3$, with nonnegative Ricci curvature and Euclidean Volume Growth. For every open bounded subset with smooth boundary we establish the validity of an optimal Minkowski Inequality.
L. Benatti +2 more
semanticscholar +1 more source
Generalized surgery on Riemannian manifolds of positive Ricci curvature [PDF]
Transactions of the American Mathematical Society, 2021 The surgery theorem of Wraith states that positive Ricci curvature is preserved under surgery if certain metric and dimensional conditions are satisfied.
Philipp Reiser
semanticscholar +1 more source
Unfolding the multiscale structure of networks with dynamical Ollivier-Ricci curvature [PDF]
Nature Communications, 2021 Describing networks geometrically through low-dimensional latent metric spaces has helped design efficient learning algorithms, unveil network symmetries and study dynamical network processes.
Adam Gosztolai, Alexis Arnaudon
semanticscholar +1 more source