| ŠILHAN, Josef and Vojtěch ŽÁDNÍK. Conformal theory of curves with tractors. Journal of Mathematical Analysis and Applications. San Diego, USA: Elsevier, 2019, vol. 473, No 1, p. 112-140. ISSN 0022-247X. Available from: https://dx.doi.org/10.1016/j.jmaa.2018.12.038. |
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@article{1597896,
author = {Šilhan, Josef and Žádník, Vojtěch},
article_location = {San Diego, USA},
article_number = {1},
doi = {http://dx.doi.org/10.1016/j.jmaa.2018.12.038},
keywords = {Conformal geometry; Tractor calculus; Curves; Invariants},
language = {eng},
issn = {0022-247X},
journal = {Journal of Mathematical Analysis and Applications},
title = {Conformal theory of curves with tractors},
url = {https://www.sciencedirect.com/science/article/abs/pii/S0022247X18310771},
volume = {473},
year = {2019}
}
TY - JOUR
ID - 1597896
AU - Šilhan, Josef - Žádník, Vojtěch
PY - 2019
TI - Conformal theory of curves with tractors
JF - Journal of Mathematical Analysis and Applications
VL - 473
IS - 1
SP - 112-140
EP - 112-140
PB - Elsevier
SN - 0022247X
KW - Conformal geometry
KW - Tractor calculus
KW - Curves
KW - Invariants
UR - https://www.sciencedirect.com/science/article/abs/pii/S0022247X18310771
L2 - https://www.sciencedirect.com/science/article/abs/pii/S0022247X18310771
N2 - 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.
ER -
ŠILHAN, Josef and Vojtěch ŽÁDNÍK. Conformal theory of curves with tractors. \textit{Journal of Mathematical Analysis and Applications}. San Diego, USA: Elsevier, 2019, vol.~473, No~1, p.~112-140. ISSN~0022-247X. Available from: https://dx.doi.org/10.1016/j.jmaa.2018.12.038.
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