kemsuСибСкриптSibScript2949-21222949-2092Kemerovo State Universitykemsu-3963Research ArticleСтатьиИЗОМЕТРИИ НА ГРУППЕ ПОВОРОТОВ - СДВИГОВISOMETRIES ON ROTO - TRANSLATION GROUPИсангуловаДарья ВасильевнаIsangulovaDaria Vasilievnadasha@math.nsc.ruИМ СО РАНРоссияSobolev Institute of Mathematics of the Siberian Branch of the Russian Academy of SciencesRussian Federation20112310201103-1243249Copyright © Исангулова Д.В., 20112011Исангулова Д.В.Isangulova D.V.This work is licensed under a Creative Commons Attribution 4.0 License.https://www.sibscript.ru/jour/article/view/3963группа поворотов-сдвиговизометрияоднопараметрическая группа преобра¬зованийroto-translation groupisometryone-parameter group of transformationsReferencesCapogna, L. An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem / L. Capogna, D. Danielli, S. D. Pauls, J. T. Tyson // Basel; Boston;Berlin;Birkhauser, 2007.Capogna, L. An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem / L. Capogna, D. Danielli, S. D. Pauls, J. T. Tyson // Basel; Boston;Berlin;Birkhauser, 2007.Citti, G. A cortical based model of perceptual completion in the roto-translation space / G. Citti, A. Sarti // J. Math. Imaging Vision. - 2006. - Vol. 24, no. 3. - P. 307 - 326.Citti, G. A cortical based model of perceptual completion in the roto-translation space / G. Citti, A. Sarti // J. Math. Imaging Vision. - 2006. - Vol. 24, no. 3. - P. 307 - 326.Gromov, M. Carnot - Caratheodory spaces seen from within / M. Gromov// In: Sub-Reimannian Geometry. - Basel: Birkhauser, 1996. - P. 79 - 323.Gromov, M. Carnot - Caratheodory spaces seen from within / M. Gromov// In: Sub-Reimannian Geometry. - Basel: Birkhauser, 1996. - P. 79 - 323.Hladky, R. K. Minimal surfaces in the roto-translation group with applications to a neuro-biological image completion model / R. K. Hladky, S. D. Pauls // J. Math. Imaging Vision. - 2010. - Vol. 36, no. 1. - P. 1 - 27.Hladky, R. K. Minimal surfaces in the roto-translation group with applications to a neuro-biological image completion model / R. K. Hladky, S. D. Pauls // J. Math. Imaging Vision. - 2010. - Vol. 36, no. 1. - P. 1 - 27.Koranyi, A. Quasiconformal mappings on the Heisenberg group / A. Koranyi, H. M. Reimann // Invent. math. - 1985. - Vol. 80. - P. 309 - 338.Koranyi, A. Quasiconformal mappings on the Heisenberg group / A. Koranyi, H. M. Reimann // Invent. math. - 1985. - Vol. 80. - P. 309 - 338.Petitot, J. The neurogeometry of pinwheels as a sub-Riemannian contact structure / J. Petitot // Journal of Physiology. - Paris.: March, 2003. - Vol. 97, no. 2. - P. 265 - 309.Petitot, J. The neurogeometry of pinwheels as a sub-Riemannian contact structure / J. Petitot // Journal of Physiology. - Paris.: March, 2003. - Vol. 97, no. 2. - P. 265 - 309.Vodopyanov, S. K. Geometry of Carnot -Caratheodory spaces and differentiability of mappings / S. K. Vodopyanov, V. I. Burenkov (ed.) et al. // The interaction of analysis and geometry. International school-conference on analysis and geometry. Novosibirsk, Russia, August 23 -September 3, 2004. - Providence, RI: American Mathematical Society. Contemporary Mathematics. - 2007. - Vol. 424. - P. 247 - 301.Vodopyanov, S. K. Geometry of Carnot -Caratheodory spaces and differentiability of mappings / S. K. Vodopyanov, V. I. Burenkov (ed.) et al. // The interaction of analysis and geometry. International school-conference on analysis and geometry. Novosibirsk, Russia, August 23 -September 3, 2004. - Providence, RI: American Mathematical Society. Contemporary Mathematics. - 2007. - Vol. 424. - P. 247 - 301.
The authors declare that there are no conflicts of interest present.