ИЗОМЕТРИИ НА ГРУППЕ ПОВОРОТОВ - СДВИГОВ
Аннотация
Ключевые слова
517.988.2, 514.763.2
Список литературы
1. 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.
2. 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.
3. Gromov, M. Carnot - Caratheodory spaces seen from within / M. Gromov// In: Sub-Reimannian Geometry. - Basel: Birkhauser, 1996. - P. 79 - 323.
4. 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.
5. Koranyi, A. Quasiconformal mappings on the Heisenberg group / A. Koranyi, H. M. Reimann // Invent. math. - 1985. - Vol. 80. - P. 309 - 338.
6. 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.
7. 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.
Рецензия
Для цитирования:
Исангулова Д.В. ИЗОМЕТРИИ НА ГРУППЕ ПОВОРОТОВ - СДВИГОВ. Вестник Кемеровского государственного университета. 2011;(3-1):243-249.
For citation:
Isangulova D.V. ISOMETRIES ON ROTO - TRANSLATION GROUP. The Bulletin of Kemerovo State University. 2011;(3-1):243-249. (In Russ.)