Topological and Noether-conservation laws
Topological charges and high dimensional instantons
Topological Sufficiency of Smooth Map-Germs.
Topologically -determined map germs are topologically cone-like
Topologie des hypersurfaces pfaffiennes
Topology and closed characteristics of -contact manifolds.
Torsion and the second fundamental form for distributions
The second fundamental form of Riemannian geometry is generalised to the case of a manifold with a linear connection and an integrable distribution. This bilinear form is generally not symmetric and its skew part is the torsion. The form itself is closely related to the shape map of the connection. The codimension one case generalises the traditional shape operator of Riemannian geometry.
Torsions of connections on higher order cotangent bundles
By a torsion of a general connection on a fibered manifold we understand the Frölicher-Nijenhuis bracket of and some canonical tangent valued one-form (affinor) on . Using all natural affinors on higher order cotangent bundles, we determine all torsions of general connections on such bundles. We present the geometrical interpretation and study some properties of the torsions.
Torsions of connections on time-dependent Weil bundles
We introduce the concept of a dynamical connection on a time-dependent Weil bundle and we characterize the structure of dynamical connections. Then we describe all torsions of dynamical connections.
Total connections in Lie groupoids
A total connection of order in a Lie groupoid over is defined as a first order connections in the -st jet prolongations of . A connection in the groupoid together with a linear connection on its base, ie. in the groupoid , give rise to a total connection of order , which is called simple. It is shown that this simple connection is curvature-free iff the generating connections are. Also, an -th order total connection in defines a total reduction of the -th prolongation of to ....
Total differential equations and the structure of fibre bundles
Toward the description in a smooth topos of the dynamically possible motions and deformations of a continuous body
Transformation de Poisson de formes différentielles. Le cas de l'espace hyperbolique.
Transversality and the inverse image of a submanifold with corners.
Travaux de D. Anosov et S. Smale sur les difféomorphismes
Travaux de Novikov sur les feuilletages
Triangulation formelle de certains systèmes de Pfaff complètement intégrables et application à l’étude des systèmes non linéaires
Triangulation of Stratified Fibre Bundles.
Trim stratification of semianalytic sets.
Two-spinor tetrad and Lie derivatives of Einstein-Cartan-Dirac fields
An integrated approach to Lie derivatives of spinors, spinor connections and the gravitational field is presented, in the context of a previously proposed, partly original formulation of a theory of Einstein-Cartan-Maxwell-Dirac fields based on “minimal geometric data”: the needed underlying structure is determined, via geometric constructions, from the unique assumption of a complex vector bundle with 2-dimensional fibers, called a -spinor bundle. Any further considered object is assumed to...