-covered foliations of hyperbolic 3-manifolds.
Radon transforms and spectral rigidity on the complex quadrics and the real Grassmannians of rank two.
Ramification of the Gauss map of complete minimal surfaces in on annular ends
We study the ramification of the Gauss map of complete minimal surfaces in on annular ends. This is a continuation of previous work of Dethloff-Ha (2014), which we extend here to targets of higher dimension.
Ramified Coverings with Nonpositive Curvature.
Randers manifolds of positive constant curvature.
Random lines and tessellations in a plane.
Our purpose is the study of the so called mixed random mosaics, formed by superposition of a given tesellation, not random, of congruent convex polygons and a homogeneous Poisson line process. We give the mean area, the mean perimeter and the mean number of sides of the polygons into which such mosaics divide the plane.
Range characterization of Radon transforms on quaternionic projective spaces.
Range characterization of Radon transforms on quaternionic projective spaces.
Range of the k-dimensional Radon transform in real hyperbolic spaces.
Rank and -nullity of contact manifolds.
Rank and symmetry of Riemannian manifolds.
Rapidities and observable 3-velocities in the flat Finslerian event space with entirely broken 3D isotropy.
Rapport sur les champs symplectiques formels
Rarita-Schwinger type operators on spheres and real projective space
In this paper we deal with Rarita-Schwinger type operators on spheres and real projective space. First we define the spherical Rarita-Schwinger type operators and construct their fundamental solutions. Then we establish that the projection operators appearing in the spherical Rarita-Schwinger type operators and the spherical Rarita-Schwinger type equations are conformally invariant under the Cayley transformation. Further, we obtain some basic integral formulas related to the spherical Rarita-Schwinger...
Rational fibrations homogeneous spaces with positive Euler characteristics and Jacobians
We show that an orientable fibration whose fiber has a homotopy type of homogeneous space with rank is totally non homologous to zero for rational coefficients. The Jacobian formed by invariant polynomial under the Weyl group of plays a key role in the proof. We also show that it is valid for mod. coefficients if does not divide the order of the Weyl group of .
Rational models of solvmanifolds with Kählerian structures.
We investigate the existence of symplectic non-Kählerian structures on compact solvmanifolds and prove some results which give strong necessary conditions for the existence of Kählerian structures in terms of rational homotopy theory. Our results explain known examples and generalize the Benson-Gordon theorem (Benson and Gordon (1990); our method allows us to drop the assumption of the complete solvability of G).
Rationality of geometric signatures of complete 4-manifolds.
Reachable sets for a class of contact sub-lorentzian metrics on ℝ³, and null non-smooth geodesics
We compute future timelike and nonspacelike reachable sets from the origin for a class of contact sub-Lorentzian metrics on ℝ³. Then we construct non-smooth (and therefore non-Hamiltonian) null geodesics for these metrics. As a consequence we deduce that the sub-Lorentzian distance from the origin is continuous at points belonging to the boundary of the reachable set.
Real analytic convex surfaces with positive topological entropy and rigid body dynamics.
Real Analyticity of Solutions of Hamilton's Equation.