# Principal prolongations and geometries modeled on homogeneous spaces

Archivum Mathematicum (1996)

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

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topSlovák, 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 -

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