Manifolds of smooth maps III : the principal bundle of embeddings of a non-compact smooth manifold
Measurability of classes of Lipschitz manifolds with respect to Borel -algebra of Vietoris topology
Natural first order Lagrangians for immersions
We define natural first order Lagrangians for immersions of Riemannian manifolds and we prove a bijective correspondence between such Lagrangians and the symmetric functions on an open subset of m-dimensional Euclidean space.
On the differential geometry of some classes of infinite dimensional manifolds
Albeverio, Kondratiev, and Röckner have introduced a type of differential geometry, which we call lifted geometry, for the configuration space of any manifold . The name comes from the fact that various elements of the geometry of are constructed via lifting of the corresponding elements of the geometry of . In this note, we construct a general algebraic framework for lifted geometry which can be applied to various “infinite dimensional spaces” associated to . In order to define a lifted...
On the geometry of the Virasoro-Bott group.
On the Homotopy Type of Certain Spaces of Differentiable Maps.
On the structure of the set of curves bounding minimal surfaces of prescribed degeneracy.
Opérateurs elliptiques et mesures sur l'espace des lacets invariants par le groupe des difféomorphismes du cercle
Parametric homotopy principle of some partial differential relations
Plongements lipschitziens dans un espace pentagonal
Pointed -surfaces
Let be a Riemann surface. Let be the -dimensional hyperbolic space and let be its ideal boundary. In our context, a Plateau problem is a locally holomorphic mapping . If is a convex immersion, and if is its exterior normal vector field, we define the Gauss lifting, , of by . Let be the Gauss-Minkowski mapping. A solution to the Plateau problem is a convex immersion of constant Gaussian curvature equal to such that the Gauss lifting is complete and . In this paper, we show...
Prescribing mean curvature: existence and uniqueness problems.
Projections and reflections of generic surfaces in R...
Rigidity of integral curves of rank 2 distributions.
Stabilität mehrfach zusammenhängender Minimalflächen.
Sur l'équation intégro-différentielle non-linéaire et la topologie algébrique
The homotopy type of the space of degree 0 immersed plane curves.
The space Bi0 = Imm0 (S1, R2) / Diff (S1) of all immersions of rotation degree 0 in the plane modulo reparameterizations has homotopy groups π1(Bi0) = Z, π2(Bi0) = Z, and πk(Bi0) = 0 for k ≥ 3.
The Moduli Space of Complete Embedded Constant Mean Cuvature Surfaces.
The push-out space of immersed spheres.
Two Natural Metrics and Their Covariant Derivatives on a Manifold of Embeddings.