Ramified Coverings with Nonpositive Curvature.
Rationality of geometric signatures of complete 4-manifolds.
Real Analyticity of Solutions of Hamilton's Equation.
Recursion relations and the asymptotic behavior of the eigenvalues of the laplacian
Régularité lipschitzienne et solutions de l'équation des ondes sur une variété riemannienne compacte
Regularity of Minimzing Harmonic Mappings into ellipsoids and similar other manifolds.
Regularity of optimal transport maps on multiple products of spheres
This article addresses regularity of optimal transport maps for cost=“squared distance” on Riemannian manifolds that are products of arbitrarily many round spheres with arbitrary sizes and dimensions. Such manifolds are known to be non-negatively cross-curved. Under boundedness and non-vanishing assumptions on the transfered source and target densities we show that optimal maps stay away from the cut-locus (where the cost exhibits singularity), and obtain injectivity and continuity of optimal maps....
Regularity of p-harmonic maps into certain manifolds with positive sectional curvature.
Regularly metrizable connections and tensors of type (1,3) (Preliminary communication)
Relèvements Dans Le Fibré Conormal D'Un Feuilletage D'Une Variété Riemannienne
Remark on the Helly Number for Strongly Convex Sets on Riemannian Manifolds.
Remarks on holomorphic vector fields on non-compact manifolds
Remarks on the Yamabe problem and the Palais-Smale condition
Remarques sur les variétés conformément plates.
Report on M. Gromov's almost flat manifolds
Représentations de (G compact) selon Verchik-Gelfand-Graiev et Ismagilov
Representations of Compact Lie Groups and Elliptic Operators.
Representations of the group of functions taking values in a compact Lie group
Resolvent Flows for Convex Functionals and p-Harmonic Maps
We prove the unique existence of the (non-linear) resolvent associated to a coercive proper lower semicontinuous function satisfying a weak notion of p-uniform λ-convexity on a complete metric space, and establish the existence of the minimizer of such functions as the large time limit of the resolvents, which generalizing pioneering work by Jost for convex functionals on complete CAT(0)-spaces. The results can be applied to Lp-Wasserstein space over complete p-uniformly convex spaces. As an application,...
Ricci curvature and qusiconformal deformations of a Riemannian manifold.