Theorem on six vertices of a plane curve via the Sturm theory

Details Theorem on six vertices of a plane curve via the Sturm theory Theorem on six vertices of a plane curve via the Sturm theory

1995-10-26

arxiv.org/abs/dg-ga/9510008v1

Mathematics

Differential Geometry

10 pages, 4 Postscript figures

Scientific paper

We discuss the theorem on the existence of six points on a convex closed
plane curve in which the curve has a contact of order six with the osculating
conic. (This is the ``projective version'' of the well known four vertices
theorem for a curve in the Euclidean plane.) We obtain this classical fact as a
corollary of some general Sturm-type theorems.

Affiliated with

Also associated with

No associations

Rating

Theorem on six vertices of a plane curve via the Sturm theory 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 Theorem on six vertices of a plane curve via the Sturm theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Theorem on six vertices of a plane curve via the Sturm theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-461174