Derivational formulas of a subspace of a generalized Riemannian space.
Dérivations, formes et opérateurs usuels sur les champs spinoriels des variétés différentiables de dimension paire
Determination of surfaces in three-dimensional Minkowski and Euclidean spaces based on solutions of the sinh-Laplace equation.
Determination of the structure of algebraic curvature tensors by means of Young symmetrizers.
Deviations of stationary curves in the bundle .
Diffeomorphisms conformal on distributions
Let f:M → N be a local diffeomorphism between Riemannian manifolds. We define the eigenvalues of f to be the eigenvalues of the self-adjoint, positive definite operator df*df:TM → TM, where df* denotes the operator adjoint to df. We show that if f is conformal on a distribution D, then , where denotes the eigenspace corresponding to the coefficient of conformality λ of f. Moreover, if f has distinct eigenvalues, then there is locally a distribution D such that f is conformal on D if and only...
Diffeomorphisms constructively associated with mutually diverging spacetimes which allow a natural identification of event points in general relativity. Part I
In questo lavoro si dà una definizione di divergenza fra cronotopi della Relatività Generale e si costruisce un criterio per l'identificazione dei punti eventi di cronotopi divergenti che appartengono ad una classe consistente con la presenza di campi elettromagnetici nel vuoto.
Different Kinds of the Covariant Differentations in Recurrent Finsler Spaces
Different structures in and its subspaces.
Differential equations on contact riemannian manifolds
Differential forms as spinors
Differential forms, Weitzenböck formulae and foliations.
The Weitzenböck formulae express the Laplacian of a differential form on an oriented Riemannian manifold in local coordinates, using the covariant derivatives of the form and the coefficients of the curvature tensor. In the first part, we shall describe a certain "differential algebra formalism" which seems to be a more natural frame for those formulae than the usual calculations in local coordinates.In this formalism there appear some interesting differential operators which may also be used to...
Differential geometric structures of stable state feedback systems with dual connections
Differential geometrical relations for a class of formal series
An extension of the category of local manifolds is considered. Instead of smooth mappings of neighbourhoods of linear spaces as morphisms we deal with formal operator power series (or formal maps). Analogues of the objects appearing on smooth manifolds and vector bundles (vector fields, sections of a bundle, exterior forms, the de Rham complex, connection, etc.) are considered in this way. All the examinations are carried out in algebraic language, for we do not care about the convergence of formal...
Differential geometry of geodesic spheres.
Differential geometry of quaternionic manifolds
Differential Geometry of Real Submanifolds in a Kähler Manifold.
Differential operators cononically associated to a conformal structure.
Differential pseudoconnections and field theories
Differential spaces and singularities of space-time.