Einstein gravity, Lagrange-Finsler geometry, and nonsymmetric metrics.
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-Maxwell equation on four-dimensional homogeneous spaces.
Einstein-Yang Mills equations for gauge transformations of second order.
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
Électromagnétisme dans l'espace-temps de Kerr
Elliptic functions in spherically symmetric solutions of Einstein's equations
En marge de l'exposé de Meyer : « Géométrie différentielle stochastique »
Epsilon Nielsen coincidence theory
We construct an epsilon coincidence theory which generalizes, in some aspect, the epsilon fixed point theory proposed by Robert Brown in 2006. Given two maps f, g: X → Y from a well-behaved topological space into a metric space, we define µ ∈(f, g) to be the minimum number of coincidence points of any maps f 1 and g 1 such that f 1 is ∈ 1-homotopic to f, g 1 is ∈ 2-homotopic to g and ∈ 1 + ∈ 2 < ∈. We prove that if Y is a closed Riemannian manifold, then it is possible to attain µ ∈(f, g) moving...
Équations de champ symétriques et équations du mouvement sur une variété pseudo-riemannienne à connexion non symétrique
Equipping distributions for linear distribution
In this paper there are discussed the three-component distributions of affine space . Functions , which are introduced in the neighborhood of the second order, determine the normal of the first kind of -distribution in every center of -distribution. There are discussed too normals and quasi-tensor of the second order . In the same way bunches of the projective normals of the first kind of the -distributions were determined in the differential neighborhood of the second and third order.
Equitorsion conform mappings of generalized Riemannian spaces
Equitorsion holomorphically projective mappings of generalized Kählerian space of the first kind
In this paper we define generalized Kählerian spaces of the first kind given by (2.1)–(2.3). For them we consider hollomorphically projective mappings with invariant complex structure. Also, we consider equitorsion geodesic mapping between these two spaces ( and ) and for them we find invariant geometric objects.
Equivalence of Glancing Hypersurfaces.
Equivalence of Lagrangian germs in the presence of a surface
Equivalence problem for minimal rational curves with isotrivial varieties of minimal rational tangents
We formulate the equivalence problem, in the sense of É. Cartan, for families of minimal rational curves on uniruled projective manifolds. An important invariant of this equivalence problem is the variety of minimal rational tangents. We study the case when varieties of minimal rational tangents at general points form an isotrivial family. The main question in this case is for which projective variety , a family of minimal rational curves with -isotrivial varieties of minimal rational tangents...
Équivalence projective et équivalence conforme
Erratum : “Closed transverse -forms on compact complex manifolds”