Minimal Paths on Some Simple Surfaces with Singularities

Details Minimal Paths on Some Simple Surfaces with Singularities Minimal Paths on Some Simple Surfaces with Singularities

2004-01-09

arxiv.org/abs/math/0401096v6

Mathematics

Differential Geometry

12 pages, 7 figures (v6:typo fixes in Lemma 1) (v5:revised the Ascoli argument in the first paragraph) (v4:Editorial revisions

Scientific paper

Given two points on a soup can or conical cup with lid, we find and classify
all paths of minimal length connecting them. When the number of minimal paths
is finite, there are at most four on a can and three on a cup. At worst,
minimal paths are piece-wise smooth with three components, each of which is a
classical geodesic. Minimal paths are geodesics in the sense of Banchoff.

Affiliated with

Also associated with

No associations

Rating

Minimal Paths on Some Simple Surfaces with Singularities 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 Minimal Paths on Some Simple Surfaces with Singularities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Minimal Paths on Some Simple Surfaces with Singularities will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-688683