Geodesics and curvature of semidirect product groups

Vizman, Cornelia

  • Proceedings of the 20th Winter School "Geometry and Physics", Publisher: Circolo Matematico di Palermo(Palermo), page 199-206

Abstract

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Summary: Geodesics and curvature of semidirect product groups with right invariant metrics are determined. In the special case of an isometric semidirect product, the curvature is shown to be the sum of the curvature of the two groups. A series of examples, like the magnetic extension of a group, are then considered.

How to cite

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Vizman, Cornelia. "Geodesics and curvature of semidirect product groups." Proceedings of the 20th Winter School "Geometry and Physics". Palermo: Circolo Matematico di Palermo, 2001. 199-206. <http://eudml.org/doc/221350>.

@inProceedings{Vizman2001,
abstract = {Summary: Geodesics and curvature of semidirect product groups with right invariant metrics are determined. In the special case of an isometric semidirect product, the curvature is shown to be the sum of the curvature of the two groups. A series of examples, like the magnetic extension of a group, are then considered.},
author = {Vizman, Cornelia},
booktitle = {Proceedings of the 20th Winter School "Geometry and Physics"},
keywords = {Winter school; Proceedings; Geometry; Physics; Srní(Czech Republic)},
location = {Palermo},
pages = {199-206},
publisher = {Circolo Matematico di Palermo},
title = {Geodesics and curvature of semidirect product groups},
url = {http://eudml.org/doc/221350},
year = {2001},
}

TY - CLSWK
AU - Vizman, Cornelia
TI - Geodesics and curvature of semidirect product groups
T2 - Proceedings of the 20th Winter School "Geometry and Physics"
PY - 2001
CY - Palermo
PB - Circolo Matematico di Palermo
SP - 199
EP - 206
AB - Summary: Geodesics and curvature of semidirect product groups with right invariant metrics are determined. In the special case of an isometric semidirect product, the curvature is shown to be the sum of the curvature of the two groups. A series of examples, like the magnetic extension of a group, are then considered.
KW - Winter school; Proceedings; Geometry; Physics; Srní(Czech Republic)
UR - http://eudml.org/doc/221350
ER -

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