ŠILHAN, Josef a Vojtěch ŽÁDNÍK. Conformal theory of curves with tractors. Journal of Mathematical Analysis and Applications. San Diego, USA: Elsevier, 2019, roč. 473, č. 1, s. 112-140. ISSN 0022-247X. Dostupné z: 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 a Vojtěch ŽÁDNÍK. Conformal theory of curves with tractors. \textit{Journal of Mathematical Analysis and Applications}. San Diego, USA: Elsevier, 2019, roč.~473, č.~1, s.~112-140. ISSN~0022-247X. Dostupné z: https://dx.doi.org/10.1016/j.jmaa.2018.12.038.
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