On the self-CPG curves and the Björling problem

Details On the self-CPG curves and the Björling problem On the self-CPG curves and the Björling problem

2010-10-15

arxiv.org/abs/1010.3049v4

Mathematics

Differential Geometry

12 pages, no figures. Restate of the principal result: mayor modifications

Scientific paper

Schwartz's solution to the Bj\"orling problem leads to an equivalence class of spatial strips S(t)=(c(t),n(t)) which produce equivalent minimal surfaces. For the particular case when the generating strip S(t) belongs to some plane E and c(t) is symmetric with respect to some straight line in E, the symmetries of the minimal surface permit us to identify another planar curve ~c(t) that we call the CPG curve to c(t). A simple symmetric argument shows that self-CPG curves produce minimal surfaces whose adjoint surface contains another self-CPG curve. We ask for minimal surfaces generated by self-CPG curves which are self-adjoints.

Affiliated with

Also associated with

No associations

Rating

On the self-CPG curves and the Björling problem 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 On the self-CPG curves and the Björling problem, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the self-CPG curves and the Björling problem will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-203302