Displaying similar documents to “Rank-2 distributions satisfying the Goursat condition: all their local models in dimension 7 and 8”

Generic one-step bracket-generating distributions of rank four

Chiara De Zanet (2015)

Archivum Mathematicum

Similarity:

We give a uniform, explicit description of the generic types of one–step bracket–generating distributions of rank four. A manifold carrying such a structure has dimension at least five and no higher than ten. For each of the generic types, we give a brief description of the resulting class of generic distributions and of geometries equivalent to them. For dimensions different from eight and nine, these are available in the literature. The remaining two cases are dealt with in my doctoral...

Multi-dimensional Cartan prolongation and special k-flags

Piotr Mormul (2004)

Banach Center Publications

Similarity:

Since the mid-nineties it has gradually become understood that the Cartan prolongation of rank 2 distributions is a key operation leading locally, when applied many times, to all so-called Goursat distributions. That is those, whose derived flag of consecutive Lie squares is a 1-flag (growing in ranks always by 1). We first observe that successive generalized Cartan prolongations (gCp) of rank k + 1 distributions lead locally to all special k-flags: rank k + 1 distributions D...

Small towns in peripheral regions of Germany

Manfred Kühn (2015)

Annales Universitatis Paedagogicae Cracoviensis Studia Geographica

Similarity:

The paper summarizes the main findings of a study on small towns in peripheral locations in Germany. In its first part, the results of the data analysis are presented and the spatial distribution of shrinking and growing small towns in Germany is described. The majority of them in peripheral areas are currently shrinking, which includes an assemblage of demographic, economic, infrastructural and fiscal problems, leading to a danger of a negative downward spiral. The second part deals...

On the exponential local-global principle

Boris Bartolome, Yuri Bilu, Florian Luca (2013)

Acta Arithmetica

Similarity:

Skolem conjectured that the "power sum" A(n) = λ₁α₁ⁿ + ⋯ + λₘαₘⁿ satisfies a certain local-global principle. We prove this conjecture in the case when the multiplicative group generated by α₁,...,αₘ is of rank 1.