- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 39
- On the linear vector fields in E2n+1
On the linear vector fields in E2n+1
Authors : Abolfazl Acratalishian
Pages : 0-0
Doi:10.1501/Commua1_0000000532
View : 6 | Download : 5
Publication Date : 1990-01-01
Article Type : Research
Abstract :Karger and Novak [1 ] has shown that the integral curves of a linear vector field X on E3 which has a matrix " A C~ are: _ 0 1 _ (i) . Helices with common axes and the same parameter if rank [AC] — 3, (ii) . Circles which lie on planes parallel to each other, and which have centers on the axis per- pendicular to those parallel planes, if rank [AC] = 2, (iii) .Parallel straight lines, if rank [AC] = 1. In this study, the results of Karger and Novak are extended to E2n+1 where n > l. It is shown that of ali the results are also valid in this general case and some further elaborations are included.Keywords : Karger, Novak, vector