Einstein-Weyl geometry, the Bach tensor and conformal scalar curvature.
Einstein-Weyl structures on lightlike hypersurfaces
We study Weyl structures on lightlike hypersurfaces endowed with a conformal structure of certain type and specific screen distribution: the Weyl screen structures. We investigate various differential geometric properties of Einstein-Weyl screen structures on lightlike hypersurfaces and show that, for ambient Lorentzian space ℝ1n+2 and a totally umbilical screen foliation, there is a strong interplay with the induced (Riemannian) Weyl-structure on the leaves.
Einstein-Yang Mills equations for gauge transformations of second order.
El polinomio de Poincaré-Hodge de un producto simétrico de variedades kählerianas compactas.
In this paper we compute the Poincaré-Hodge polynomial of a symmetric product of a compact kähler manifold, following the method used by Macdonald, in the topological case, to compute the Poincaré polynomial of a compact polyhedron, and we give some applications, in particular to the case of curves.
Elastic knots in euclidean 3-space
Elastic Sturmian spirals in the Lorentz-Minkowski plane
In this paper we consider some elastic spacelike and timelike curves in the Lorentz-Minkowski plane and obtain the respective vectorial equations of their position vectors in explicit analytical form. We study in more details the generalized Sturmian spirals in the Lorentz-Minkowski plane which simultaneously are elastics in this space.
Elastic-plastic deformation of a single crystal in a geometrized theory of thermodynamic spaces with internal variables.
Electrodynamics in Robertson-Walker spacetimes
Electromagnetic dynamical systems.
Électromagnétisme dans l'espace-temps de Kerr
Elementare Kennzeichnungen der symmetrischen Schrotung.
Elementary relative tractor calculus for Legendrean contact structures
For a manifold endowed with a Legendrean (or Lagrangean) contact structure , we give an elementary construction of an invariant partial connection on the quotient bundle . This permits us to develop a naïve version of relative tractor calculus and to construct a second order invariant differential operator, which turns out to be the first relative BGG operator induced by the partial connection.
Elements of infinitesimal Riemannian geometry. (Éléments de géométrie riemannienne infinitésimale.)
Ellipsoids and hyperboloids with infinite foci
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.