Elliptic functions in spherically symmetric solutions of Einstein's equations
Elliptic GW invariants of blowups along curves and surfaces.
Elliptic operators and higher signatures
Building on the theory of elliptic operators, we give a unified treatment of the following topics: - the problem of homotopy invariance of Novikov’s higher signatures on closed manifolds, - the problem of cut-and-paste invariance of Novikov’s higher signatures on closed manifolds, - the problem of defining higher signatures on manifolds with boundary and proving their homotopy invariance.
Elliptic problems with integral diffusion
In this paper, we review several recent results dealing with elliptic equations with non local diffusion. More precisely, we investigate several problems involving the fractional laplacian. Finally, we present a conformally covariant operator and the associated singular and regular Yamabe problem.
Ellipticity of the symplectic twistor complex
For a Fedosov manifold (symplectic manifold equipped with a symplectic torsion-free affine connection) admitting a metaplectic structure, we shall investigate two sequences of first order differential operators acting on sections of certain infinite rank vector bundles defined over this manifold. The differential operators are symplectic analogues of the twistor operators known from Riemannian or Lorentzian spin geometry. It is known that the mentioned sequences form complexes if the symplectic...
Elliptische Funktionen und vollständige Minimalflächen.
Elliptische und hyperelliptische Funktionen und vollständige Minimalflächen vom Enneperschen Typ.
Embedde minimal annuli in R3 bounded by a pair of straight lines.
Embedded, doubly periodic minimal surfaces.
Embedded Minimal Disks with a Free Boundary on a Polyhedron in IR3.
Embedded minimal surfaces derived from Scherk's Examples.
Embedded minimal surfaces with an infinite number of ends.
Embeddedness and uniqueness of minimal surfaces solving a partially free boundary value problem.
Embedding and surrounding with positive mean curvature.
Embedding of open riemannian manifolds by harmonic functions
Let be a noncompact Riemannian manifold of dimension . Then there exists a proper embedding of into by harmonic functions on . It is easy to find harmonic functions which give an embedding. However, it is more difficult to achieve properness. The proof depends on the theorems of Lax-Malgrange and Aronszajn-Cordes in the theory of elliptic equations.
Embedding Riemannian Manifolds by Their Heat Kernel.
Embedding theorems and Kahlerity for 1-convex spaces.
Emergent abelian gauge fields from noncommutative gravity.
En marge de l'exposé de Meyer : « Géométrie différentielle stochastique »
End-to-end gluing of constant mean curvature hypersurfaces
It was observed by R. Kusner and proved by J. Ratzkin that one can connect together two constant mean curvature surfaces having two ends with the same Delaunay parameter. This gluing procedure is known as a “end-to-end connected sum”. In this paper we generalize, in any dimension, this gluing procedure to construct new constant mean curvature hypersurfaces starting from some known hypersurfaces.