Extended geometries

On three families of extended tilde geometries

Let Γ be an extended tilde geometry of rank n > 2 such that there exists a 1-covering γ : Γ → Φ where Φ is a c.Cn−1-geometry with orders 1, 2, . . . , 2. Suppose that the normalizer in Aut(Γ ) of the deck group of γ acts flag-transitively on Γ . We prove that, under these hypotheses, only three possibilities exist for the universal cover of Γ . c © 2007 Elsevier Ltd. All rights reserved.

Extended Schouten classification for non-Riemannian geometries

A generalized connection, including Christoffel coefficients, torsion, non-metricity tensor and metric-asymmetricity object, is analyzed according to the Schouten classification. The inverse structure matrix is found in the linearized regime, autoparallel trajectories are defined and the contribution of the components of the connection are clarified at first-order approximation.

Localization of Structure on Extended RO Propagation Geometries

GPS-to-low-earth-orbiting (LEO) radio occultation (RO) geometries are designed for vertical-plane measurements. Reconstruction of atmospheric and ionospheric pro…les is facilitated by the planar geometry. Interpreting scintillation that develops over the extended propagation path is more challenging. The point of closest approach is a natural reference for reporting scintillation on occultation...

Extended-Hückel Energy Band Structures of Transition Metal Compounds with One-Dimensional Crystal Geometries

Using symmetry adapted basis sets of linearly combined Bloch sums, we summarize the basic equations for one-dimensional energy band structure calculations of extended-Hückel type such as SCC (Self-Consistence of Charge) and SCCC (Self-Consistence of Charge and Configuration). In addition to the considerable computational savings achievable by this technique, its main advantage is that band inde...

Comparative Study of Geometries and Ber Routings for the Extended Barrel Modules 0