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.
Riemannian foliations with parallel or harmonic basic forms
In this paper, we consider a Riemannian foliation that admits a nontrivial parallel or harmonic basic form. We estimate the norm of the O’Neill tensor in terms of the curvature data of the whole manifold. Some examples are then given.
Riemannian Manifoids Diffeomorphic to the Complex Projective Space.
Riemannian manifolds in which certain curvature operator has constant eigenvalues along each helix
Riemannian manifolds for which a natural skew-symmetric curvature operator has constant eigenvalues on helices are studied. A local classification in dimension three is given. In the three dimensional case one gets all locally symmetric spaces and all Riemannian manifolds with the constant principal Ricci curvatures , which are not locally homogeneous, in general.
Riemannian manifolds with almost constant scalar curvature.
Riemannian manifolds with bounded Dirichlet finite polyharmonic functions
Riemannian Manifolds with Flat Ends.
Riemannian Manifolds with General Symmetries.
Riemannian metrics on 2D-manifolds related to the Euler−Poinsot rigid body motion
The Euler−Poinsot rigid body motion is a standard mechanical system and it is a model for left-invariant Riemannian metrics on SO(3). In this article using the Serret−Andoyer variables we parameterize the solutions and compute the Jacobi fields in relation with the conjugate locus evaluation. Moreover, the metric can be restricted to a 2D-surface, and the conjugate points of this metric are evaluated using recent works on surfaces of revolution. Another related 2D-metric on S2 associated to the...
Riemannian metrics with harmonic curvature on 2-sphere bundles over compact surfaces