Results 101 to 110 of about 283,922 (217)

Ricci-Curvature-Enhanced Temporal Graph Convolutional Networks for Traffic Speed Forecasting

IEEE Access
Accurate long-horizon traffic speed forecasting is essential for intelligent transportation systems, yet spatiotemporal graph neural networks can suffer from over-squashing when information must traverse topological bottlenecks. We propose Ricci-T-GCN, a
Shasha Jiang, Qingliang Liu, Xiaomin Dai
doaj   +1 more source

Ricci Curvature for Hydrodynamics on the Sphere

Communications in Mathematical Physics
Abstract The geometric description of incompressible hydrodynamics, as geodesic motion on the infinite-dimensional group of volume-preserving diffeomorphisms, enables notions of curvature in the study of fluids in order to study stability.
Leandro Lichtenfelz, Klas Modin, Stephen C. Preston   +2 more
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Lower Ricci Curvature for Hypergraphs

CoRR
Networks with higher-order interactions, prevalent in biological, social, and information systems, are naturally represented as hypergraphs, yet their structural complexity poses fundamental challenges for geometric characterization. While curvature-based methods offer powerful insights in graph analysis, existing extensions to hypergraphs suffer from ...
Shiyi Yang, Can Chen, Didong Li
openaire   +2 more sources

On the equivalence of two curvature conditions for Lorentzian hypersurfaces

Arab Journal of Mathematical Sciences, 2017
Let n≥3. We show that semi-symmetry and Ricci-semisymmetry conditions are equivalent for any n-dimensional Lorentzian hypersurface in a Lorentzian space form with nonzero curvature.
Mohammed Guediri, Norah Alshehri
doaj   +1 more source

On the Ricci curvature of Kahler-Ricci Flow

, 2021
We have to add an additional assumption: the fibres of X over the canonical model X_{can} of X are biholomorphic to each ...
openaire   +2 more sources

Ricci Flow And Isotropic Curvature [PDF]

, 2011
This thesis consists of two parts. In the first part, we study certain Ricci flow invariant nonnegative curvature conditions as given by B. Wilking. We begin by proving that any such nonnegative curvature implies nonnegative isotropic curvature in the ...
Gururaja, H A
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Mixed sectional-Ricci curvature obstructions on tori

, 2020
International audienceWe establish new obstruction results to the existence of Riemannian metrics on tori satisfying mixed bounds on both their sectional and Ricci curvatures.
Kloeckner, Benoît, Sabourau, Stéphane
core   +1 more source

k-Almost Newton-Conformal Ricci Solitons on Hypersurfaces Within Golden Riemannian Manifolds with Constant Golden Sectional Curvature

Axioms
The current work establishes the geometrical bearing for hypersurfaces in a Golden Riemannian manifold with constant golden sectional curvature with respect to k-almost Newton-conformal Ricci solitons.
Amit Kumar Rai, Majid Ali Choudhary, Mohd. Danish Siddiqi, Ghodratallah Fasihi-Ramandi, Uday Chand De, Ion Mihai   +5 more
doaj   +1 more source

Integral Ricci Curvature for Graphs

The Electronic Journal of Combinatorics
We introduce the notion of integral Ricci curvature $I_{\kappa_0}$ for graphs, which measures the amount of Ricci curvature below a given threshold $\kappa_0$. We focus our attention on the Lin-Lu-Yau Ricci curvature. As applications, we prove a Bonnet-Myers-type diameter estimate, a Moore-type estimate on the number of vertices of a graph in terms of ...
openaire   +2 more sources

Instantaneously complete Ricci flows on surfaces [PDF]

The intention of this thesis is to give a survey of instantaneously complete Ricci flows on surfaces, focussing on the existence and uniqueness of its Cauchy problem.
Giesen, Gregor
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