Loading...
Please wait, while we are loading the content...
Similar Documents
The cut locus of a Randers rotational 2-sphere of revolution ∗ †
| Content Provider | Semantic Scholar |
|---|---|
| Author | Hama, Rattanasak Kasemsuwan, Jaipong Sabau, Sorin V. |
| Copyright Year | 2018 |
| Abstract | In the present paper we study structure of the cut locus of a Randers rotational 2-sphere of revolution (M,F = α + β). We show that in the case when Gaussian curvature of the Randers surface is monotone along a meridian the cut locus of a point q ∈ M is a point on a subarc of the opposite half bending meridian or of the antipodal parallel (Theorem 1.1). More generally, when the Gaussian curvature is not monotone along the meridian, but the cut locus of a point q on the equator is a subarc of the same equator, then the cut locus of any point q̃ ∈ M different from poles is a subarc of the antipodal parallel (Theorem 1.2). Some examples are also given at the last section. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv-export-lb.library.cornell.edu/pdf/1808.03381 |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Bending - Changing basic body position LOCUS Meridians Normal Statistical Distribution Nortel Meridian monotone |
| Content Type | Text |
| Resource Type | Article |
