Realizing Homology Classes by Almost-Complex Submanifolds.
Réarrangements des difféomorphismes sur une variété compacte mesurée
Recent advances in the theory of holonomy
Recent progress on the boundary rigidity problem.
Recent results in symplectic geometry
Rechtsdistributive Multiplikationen auf homogenen Räumen.
Reconstruction from Limited Data of Arc Means.
Recursion relations and the asymptotic behavior of the eigenvalues of the laplacian
Recursions of symmetry orbits and reduction without reduction.
Réduction algébrique d'un morphisme faiblement Kählérien propre et applications.
Reduction of Codimension of Regular Immersions.
Reduction of Complex Hamiltonian G-Spaces.
Reduction of complex Poisson manifolds.
Reduction of the codimension of a generic minimal submanifold immersed in a complex projective space
Reduction of the Codimension of Regular Isometric Immersions.
Reduction theorem for general connections
We prove the (first) reduction theorem for general and classical connections, i.e. we prove that any natural operator of a general connection Γ on a fibered manifold and a classical connection Λ on the base manifold can be expressed as a zero order operator of the curvature tensors of Γ and Λ and their appropriate derivatives.
Reductions of locally conformal symplectic structures and de Rham cohomology tangent to a foliation
We define a procedure of reduction of locally conformal symplectic structures. We find a necessary and sufficient condition for this reduction to hold in terms of a special kind of de Rham cohomology class (tangent to the characteristic foliation) of the Lee form.
Reductive Homogeneous Pseudo-Riemannian Manifolds.
Reductive homogeneous spaces and nonassociative algebras
The purpose of these survey notes is to give a presentation of a classical theorem of Nomizu [Nom54] that relates the invariant affine connections on reductive homogeneous spaces and nonassociative algebras.
Reeb vector fields and open book decompositions
We determine parts of the contact homology of certain contact 3-manifolds in the framework of open book decompositions, due to Giroux.We study two cases: when the monodromy map of the compatible open book is periodic and when it is pseudo-Anosov. For an open book with periodic monodromy, we verify the Weinstein conjecture. In the case of an open book with pseudo-Anosov monodromy, suppose the boundary of a page of the open book is connected and the fractional Dehn twist coefficient equals , where...