ŽÁDNÍK, Vojtěch. Remarks on development of curves. In Supplemento ai Rendiconti del Circolo Matematico di Palermo, Serie II. 75th ed. Palermo: Circolo Matematico di Palermo, 2005, p. 347-356, 11 pp. ISSN 0009-725X.
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Basic information
Original name Remarks on development of curves
Name in Czech Poznámky k rozvíjení křivek
Authors ŽÁDNÍK, Vojtěch (203 Czech Republic, guarantor).
Edition 75. vyd. Palermo, Supplemento ai Rendiconti del Circolo Matematico di Palermo, Serie II, p. 347-356, 11 pp. 2005.
Publisher Circolo Matematico di Palermo
Other information
Original language English
Type of outcome Proceedings paper
Field of Study 10101 Pure mathematics
Country of publisher Italy
Confidentiality degree is not subject to a state or trade secret
RIV identification code RIV/00216224:14410/05:00013860
Organization unit Faculty of Education
ISSN 0009-725X
Keywords in English Cartan geometry; development; generalized geodesics
Tags Cartan geometry, development, generalized geodesics
Changed by Changed by: doc. Mgr. Vojtěch Žádník, Ph.D., učo 8753. Changed: 31/1/2009 21:27.
Abstract
The classical notion of development of curves easily generalizes to the wide class of Cartan geometries. This construction provides some correspondence between smooth curves on the base manifold and smooth curves in the homogeneous space of the geometry in question. In this vein, there are specific curves on the base manifold distinguished in terms of their developments. Explicit relationship between the initial curve and its development is worked out.
Abstract (in Czech)
Klasický pojem rozvíjení křivek se snadno zobecňuje pro libovolné Cartanovy geometrie. Tato konstrukce určuje jistou korespondenci mezi hladkými křivkami na varietě a hladkými křivkami v homogenním modelu diskutované geometrie. Odtud, právě díky rozvinutí, dostáváme specifické význačné křivky na dané varietě. V práci je diskutován explicitní vztah mezi původní křivkou a jejím rozvinutím.
Links
MSM 143100009, plan (intention)Name: Matematické struktury algebry a geometrie
Investor: Ministry of Education, Youth and Sports of the CR, Mathematical structures of algebra and geometry
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