Detailed Information on Publication Record
2019
Conformal theory of curves with tractors
ŠILHAN, Josef and Vojtěch ŽÁDNÍKBasic information
Original name
Conformal theory of curves with tractors
Authors
ŠILHAN, Josef (203 Czech Republic, belonging to the institution) and Vojtěch ŽÁDNÍK (203 Czech Republic, guarantor, belonging to the institution)
Edition
Journal of Mathematical Analysis and Applications, San Diego, USA, Elsevier, 2019, 0022-247X
Other information
Language
English
Type of outcome
Článek v odborném periodiku
Field of Study
10101 Pure mathematics
Country of publisher
United States of America
Confidentiality degree
není předmětem státního či obchodního tajemství
References:
Impact factor
Impact factor: 1.220
RIV identification code
RIV/00216224:14310/19:00107908
Organization unit
Faculty of Science
UT WoS
000456641300006
Keywords in English
Conformal geometry; Tractor calculus; Curves; Invariants
Tags
Tags
International impact, Reviewed
Změněno: 26/3/2020 18:04, Mgr. Marie Šípková, DiS.
Abstract
V originále
We present the general theory of curves in conformal geometry using tractor calculus. This primarily involves a specification of distinguished parametrizations and relative and absolute conformal invariants of generic curves. The absolute conformal invariants are defined via a tractor analogue of the classical Frenet frame construction and then expressed in terms of relative ones. Our approach applies likewise to conformal structures of any signature; in the case of indefinite signature we focus especially on the null curves. It also provides a conceptual tool for handling distinguished families of curves (conformal circles and conformal null helices) and conserved quantities along them.
Links
| GA17-01171S, research and development project |
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| GBP201/12/G028, research and development project |
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