On a synthetic proof of the Ambrose-Palais-Singer theorem for infinitesimally linear spaces
On a system of functional equations occurring in the theory of geometric objects
On a system of partial differential equations in Heisenberg space. (Sur un système d'équations aux d'érivées partielles dans l'espace de Heisenberg.)
On a theorem of Chekanov
A proof of the Chekanov theorem is discussed from a geometric point of view. Similar results in the context of projectivized cotangent bundles are proved. Some applications are given.
On a Theorem of Chern and Terng on Affine Surfaces.
On a Theorem of Fenchel-Borsuk-Willmore-Chern-Lashof.
On a theorem of Fermi
Conformally flat metric is said to be Ricci superosculating with at the point if , , , where is the Ricci tensor. In this paper the following theorem is proved: If is a smooth curve of the Riemannian manifold (without self-crossing(, then there is a neighbourhood of and a conformally flat metric which is the Ricci superosculating with along the curve .
On a transformation of the Finsler metric
On a type of manifolds over algebra of dual numbers
On a type of P-Sasakian manifold.
On a Type of Semi-symmetric Metric Connection on a Riemannian Manifold
On a variational theory of light rays on Lorentzian manifolds
In this Note, by using a generalization of the classical Fermat principle, we prove the existence and multiplicity of lightlike geodesics joining a point with a timelike curve on a class of Lorentzian manifolds, satisfying a suitable compactness assumption, which is weaker than the globally hyperbolicity.
On a volume element of a Hitchin component
Let Σ be a closed oriented Riemann surface of genus at least 2. By using symplectic chain complex, we construct a volume element for a Hitchin component of Hom(π₁(Σ),PSLₙ(ℝ))/PSLₙ(ℝ) for n > 2.
On a weakly Berwald Finsler space of Kropina type.
On a weakly symmetric Riemannian manifold admitting a special type of semi-symmetric metric connection.
On acceleration and acceleration axes in dual Lorentzian space .
On admissible groups of diffeomorphisms
The phenomenon of determining a geometric structure on a manifold by the group of its automorphisms is a modern analogue of the basic ideas of the Erlangen Program of F. Klein. The author calls such diffeomorphism groups admissible and he describes them by imposing some axioms. The main result is the followingTheorem. Let , , be a geometric structure such that its group of automorphisms satisfies either axioms 1, 2, 3 and 4, or axioms 1, 2, 3’, 4, 5, 6 and 7, and is compact, or axioms 1, 2,...
On affine extensions of the holonomy homomorphisms of flat principal bundles
On affine geometric product objects
On affine transformations of Banachable bundles