# Generic one-step bracket-generating distributions of rank four

Archivum Mathematicum (2015)

- Volume: 051, Issue: 5, page 257-264
- ISSN: 0044-8753

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topDe Zanet, Chiara. "Generic one-step bracket-generating distributions of rank four." Archivum Mathematicum 051.5 (2015): 257-264. <http://eudml.org/doc/276104>.

@article{DeZanet2015,

abstract = {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 thesis.},

author = {De Zanet, Chiara},

journal = {Archivum Mathematicum},

keywords = {generic distributions of rank four; canonical connection; parabolic geometry},

language = {eng},

number = {5},

pages = {257-264},

publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},

title = {Generic one-step bracket-generating distributions of rank four},

url = {http://eudml.org/doc/276104},

volume = {051},

year = {2015},

}

TY - JOUR

AU - De Zanet, Chiara

TI - Generic one-step bracket-generating distributions of rank four

JO - Archivum Mathematicum

PY - 2015

PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno

VL - 051

IS - 5

SP - 257

EP - 264

AB - 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 thesis.

LA - eng

KW - generic distributions of rank four; canonical connection; parabolic geometry

UR - http://eudml.org/doc/276104

ER -

## References

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