Géométrie systolique des variétés de groupe fondamental
Géométrie systolique et métriques polyèdrales sur les 3-variétés de Bieberbach
La systole d’une variété riemannienne compacte non simplement connexe est la plus petite longueur d’une courbe fermée non contractile ; le rapport systolique est le quotient . Sa borne supérieure, sur l’ensemble des métriques riemanniennes, est fini pour une large classe de variétés, dont les .On étudie le rapport systolique optimal des variétés de Bieberbach compactes, orientables de dimension qui ne sont pas des tores, et on démontre en utilisant des constructions de métriques polyèdrales...
Geometrie und Geodäsie
Geometrische Deutung von Krümmung und Torsion einer Raumkurve.
Geometrische Krystallographie [Book]
Geometrische Methoden zur Gewinnung von A-Priori-Schranken für harmonische Abbildungen.
Geometrization of three manifolds and Perelman's proof.
This is a survey about Thurston’s geometrization conjecture of three manifolds and Perelman’s proof with the Ricci flow. In particular we review the essential contribution of Hamilton as well as some results in topology relevants for the proof.
Geometrodynamics of some non-relativistic incompressible fluids.
In some previous papers [1, 2] we proposed a geometric formulation of continuum mechanics, where a continuous body is seen as a suitable differentiable fiber bundle C on the Galilean space-time M, beside a differential equation of order k, Ek(C), on C and the assignement of a frame Psi on M. This approach allowed us to treat continuum mechanics as a unitary field theory and to consider constitutive and dynamical properties in a more natural way. Further, the particular intrinsic geometrical framework...
Geometrodynamics of wormholes
Geometry and analytic theory of Frobenius manifolds.
Geometry and function algebra on pseudo-flat manifolds
Geometry meaning of curvatures in Finsler geometry
Geometry of -step nilpotent groups with a left invariant metric
Geometry of BRST-formalism
Geometry of compactifications of locally symmetric spaces
For a locally symmetric space , we define a compactification which we call the “geodesic compactification”. It is constructed by adding limit points in to certain geodesics in . The geodesic compactification arises in other contexts. Two general constructions of Gromov for an ideal boundary of a Riemannian manifold give for locally symmetric spaces. Moreover, has a natural group theoretic construction using the Tits building. The geodesic compactification plays two fundamental roles in...
Geometry of control-affine systems.
Geometry of Cyclic and Anticylic Algebras
The article deals with spaces the geometry of which is defined by cyclic and anticyclic algebras. Arbitrary multiplicative function is taken as a fundamental form. Motions are given as linear transformation preserving given multiplicative function.
Geometry of dynamics in general relativity
Geometry of Gaussian nonlinear regression. Parallel curves and confidence intervals
Geometry of holomorphic distributions of real hypersurfaces in a complex projective space
We characterize homogeneous real hypersurfaces ’s of type , and of a complex projective space in the class of real hypersurfaces by studying the holomorphic distribution of .