The solution of the Minkowski problem for open surfaces in Riemannian space

Details The solution of the Minkowski problem for open surfaces in Riemannian space The solution of the Minkowski problem for open surfaces in Riemannian space

2007-08-29

arxiv.org/abs/0708.3929v1

Mathematics

Differential Geometry

31 pages

Scientific paper

Author reduces the Minkowski problem to the problem of construction the G-deformations preserving the product of principal curvatures for every point of surface in Riemannian space. G-deformation transfers every normal vector of surface in parallel along the path of the translation for each point of surface. The continuous G-deformations preserving the product of principal curvatures of surface with boundary are considered in this article. The equations of deformations which are obtained in this paper reduce to the nonlinear boundary-value problem. The method of construction continuous G-deformations preserving the product of principal curvatures of surface with boundary and its qualitative analysis are presented in this article

Affiliated with

Also associated with

No associations

Rating

The solution of the Minkowski problem for open surfaces in Riemannian space 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 The solution of the Minkowski problem for open surfaces in Riemannian space, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The solution of the Minkowski problem for open surfaces in Riemannian space will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-240280