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most citedHierarchical structure and the prediction of missing links in networks

2.2k citations

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13 papers · 1 filter

math.DG20089 cited

On Locally Conformally Flat Gradient Shrinking Ricci Solitons

Xiaodong Cao, Biao Wang, Zhou Zhang

In this paper, we first apply an integral identity on Ricci solitons to prove that closed locally conformally flat gradient Ricci solitons are of constant sectional curvature. We t…

math.DG20089 cited

Relative equilibria of Lagrangian systems with symmetry

M. Crampin, T. Mestdag

We discuss the characterization of relative equilibria of Lagrangian systems with symmetry.

math.DG200832 cited

Routh's procedure for non-Abelian symmetry groups

M. Crampin, T. Mestdag

We extend Routh's reduction procedure to an arbitrary Lagrangian system (that is, one whose Lagrangian is not necessarily the difference of kinetic and potential energies) with a s…

math.DG20052 cited

Weak curvature conditions and functional inequalities

John Lott, Cedric Villani

We give sufficient conditions for a measured length space (X,d,m) to admit local and global Poincare inequalities. We first introduce a condition DM on (X,d,m), defined in terms of…

math.DG20051 cited

Remark about scalar curvature and Riemannian submersions

John Lott

We consider modified scalar curvature functions for Riemannian manifolds equipped with smooth measures. Given a Riemannian submersion whose fiber transport is measure-preserving up…

math.DG200410 cited

Ricci curvature for metric-measure spaces via optimal transport

John Lott, Cedric Villani

We define a notion of a measured length space X having nonnegative N-Ricci curvature, for N finite, or having infinity-Ricci curvature bounded below by K, for K a real number. The…