|
Vestnik Tomskogo Gosudarstvennogo Universiteta. Matematika i Mekhanika, 2011, Number 3(15), Pages 32–40
(Mi vtgu205)
|
|
|
|
MATHEMATICS
Nonholonomic torses of the first kind in the four-dimensional Euclidean space
N. M. Onishchuk, O. V. Tsokolova Tomsk State University
Abstract:
Nonholonomic three-dimensional distributions with zero total curvature of the first kind are considered in $E_4$. There exist three types of such distributions depending on the values of the principal curvatures of the first kind. Geometry of each of them is studied.
Keywords:
nonholonomic geometry, distribution, Pfaffian equation, vector field.
Received: 09.04.2011
Citation:
N. M. Onishchuk, O. V. Tsokolova, “Nonholonomic torses of the first kind in the four-dimensional Euclidean space”, Vestn. Tomsk. Gos. Univ. Mat. Mekh., 2011, no. 3(15), 32–40
Linking options:
https://www.mathnet.ru/eng/vtgu205 https://www.mathnet.ru/eng/vtgu/y2011/i3/p32
|
Statistics & downloads: |
Abstract page: | 245 | Full-text PDF : | 61 | References: | 49 | First page: | 1 |
|