Singularities of improper affine spheres and surfaces of constant Gaussian curvature

Details Singularities of improper affine spheres and surfaces of constant Gaussian curvature Singularities of improper affine spheres and surfaces of constant Gaussian curvature

2005-02-08

arxiv.org/abs/math/0502154v1

Mathematics

Differential Geometry

20 pages, 1 figures

Scientific paper

We study the equation for improper (parabolic) affine spheres from the view point of contact geometry and provide the generic classification of singularities appearing in geometric solutions to the equation as well as their duals. We also show the results for surfaces of constant Gaussian curvatureand for developable surfaces. In particular we confirm that generic singularities appearing in such a surface are just cuspidal edges and swallowtails.

Affiliated with

Also associated with

No associations

Rating

Singularities of improper affine spheres and surfaces of constant Gaussian curvature 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 Singularities of improper affine spheres and surfaces of constant Gaussian curvature, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Singularities of improper affine spheres and surfaces of constant Gaussian curvature will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-28378