Einstein Metrics on solvable groups.
Einstein Metrics, Spinning Top Motions and Monopoles.
Einstein Spaces Isometrically Diffeomorphic to a Sphere.
Einstein Structures: Existence Versus Uniqueness.
Einstein-Hermitian and anti-Hermitian 4-manifolds
We study 4-dimensional Einstein-Hermitian non-Kähler manifolds admitting a certain anti-Hermitian structure. We also describe Einstein 4-manifolds which are of cohomogeneity 1 with respect to an at least 4-dimensional group of isometries.
Einstein-Hermitian connections on principal bundles and stability.
Einstein-Kähler V-Metrics on Open Satake V-Surfaces with Isolated Quotient Singularities.
Einstein-like and conformally flat contact metric three-manifolds.
Einstein-like semi-symmetric spaces
One proves that semi-symmetric spaces with a Codazzi or Killing Ricci tensor are locally symmetric. Some applications of this result are given.
Einstein-Maxwell equation on four-dimensional homogeneous spaces.
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.
Electromagnetic dynamical systems.
Ellipsoids and hyperboloids with infinite foci
Elliptic functions in spherically symmetric solutions of Einstein's equations
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...