Rectification of circles and quaternions

Details Rectification of circles and quaternions Rectification of circles and quaternions

2001-10-14

arxiv.org/abs/math/0110144v1

Michigan Mathematical Journal, 51 (2003), pp. 153-167

Mathematics

Differential Geometry

18 pages

Scientific paper

Consider a bundle of circles passing through 0 in 4-dimensional space. It is said to be rectifiable if there is a germ of diffeomorphism at 0 that takes all circles from our bundle to straight lines. We will give a classification of all rectifiable bundles of circles containing sufficiently many circles in general position. This result is surprisingly different from those in dimensions 2 and 3(Khovanskii and Izadi) due to a connection with the quaternionic algebra.

Affiliated with

Also associated with

No associations

Rating

Rectification of circles and quaternions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Rectification of circles and quaternions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Rectification of circles and quaternions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-317917