On the linear vector fields in E2n+1

Year 1990, Volume: 39 , - , 01.01.1990

Abolfazl Acratalıshıan

https://doi.org/10.1501/Commua1_0000000532

Cited By: 1

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

References

• Communications, Series A1:Mathematics and Statistics