Homotopy–commutativity in rotation groups

Asphericity and small cancellation theory for rotation family of groups

Using small cancellation for rotating families of groups, we construct new examples of aspherical polyhedra.

Rotation Planning of Locomotive and Carriage Groups with Shared Capacities

In a large railway passenger traffic network, a given set of trips or service blocks are to be serviced by equipment consisting of several groups of locomotives/carriages. The allowed groups per service block are predefined as patterns or multisets of locomotives and carriages. A given type of locomotive/carriage may occur with varying numbers in several groups. We search for a cost-minimal ass...

Groups in Polygroups

Harmonic Analysis in Vector Bundles Associated to the Rotation and Spin Groups

Let V be any vector bundle over the sphere S n which is associated to the principal bundle of oriented orthonormal frames, or to that of spin frames. We give an explicit formula for the spectrum, with multiplicity, of the Bochner Laplacian r r on V , where r is the Riemannian or Riemannian spin connection. In the case of tensor bundles, we also give the spectrum of the Lichnerowicz Laplacian. T...

Mental Rotation Mental Rotation

the typical characterization of individuals with mild mental retardation, by seldom being able to live independently. As evidenced by the example of Williams syndrome, summary test scores often do not represent well the level of ability within individual domains. Thus it is crucial to take into account etiology when planning either basic research or intervention. At the same time, it is importa...