Principal prolongations and geometries modeled on homogeneous spaces

Jan Slovák

Archivum Mathematicum (1996)

  • Volume: 032, Issue: 4, page 325-342
  • ISSN: 0044-8753

Abstract

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We discuss frame bundles and canonical forms for geometries modeled on homogeneous spaces. Our aim is to introduce a geometric picture based on the non-holonomic jet bundles and principal prolongations as introduced in [Kolář, 71]. The paper has a partly expository character and we focus on very general aspects only. In the final section, various links to known results on the parabolic geometries are given briefly and some directions for further investigations are roughly indicated.

How to cite

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Slovák, Jan. "Principal prolongations and geometries modeled on homogeneous spaces." Archivum Mathematicum 032.4 (1996): 325-342. <http://eudml.org/doc/18474>.

@article{Slovák1996,
abstract = {We discuss frame bundles and canonical forms for geometries modeled on homogeneous spaces. Our aim is to introduce a geometric picture based on the non-holonomic jet bundles and principal prolongations as introduced in [Kolář, 71]. The paper has a partly expository character and we focus on very general aspects only. In the final section, various links to known results on the parabolic geometries are given briefly and some directions for further investigations are roughly indicated.},
author = {Slovák, Jan},
journal = {Archivum Mathematicum},
keywords = {jet prolongation; principal prolongation; Cartan connection; jet prolongation; principal prolongation; Cartan connection},
language = {eng},
number = {4},
pages = {325-342},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Principal prolongations and geometries modeled on homogeneous spaces},
url = {http://eudml.org/doc/18474},
volume = {032},
year = {1996},
}

TY - JOUR
AU - Slovák, Jan
TI - Principal prolongations and geometries modeled on homogeneous spaces
JO - Archivum Mathematicum
PY - 1996
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 032
IS - 4
SP - 325
EP - 342
AB - We discuss frame bundles and canonical forms for geometries modeled on homogeneous spaces. Our aim is to introduce a geometric picture based on the non-holonomic jet bundles and principal prolongations as introduced in [Kolář, 71]. The paper has a partly expository character and we focus on very general aspects only. In the final section, various links to known results on the parabolic geometries are given briefly and some directions for further investigations are roughly indicated.
LA - eng
KW - jet prolongation; principal prolongation; Cartan connection; jet prolongation; principal prolongation; Cartan connection
UR - http://eudml.org/doc/18474
ER -

References

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