From Normal Surfaces to Normal Curves to Geodesics on Surfaces
This paper gives a study of a two dimensional version of the theory of normal surfaces; namely, a study o normal curves and their relations with respect to geodesic curves. This study results with a nice discrete approximation of geodesics embedded in a triangulated orientable Riemannian surface. Ex...
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| Format: | Article |
| Language: | English |
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MDPI AG
2017-09-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/6/3/26 |
| _version_ | 1818082271038537728 |
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| author | Eli Appleboim |
| author_facet | Eli Appleboim |
| author_sort | Eli Appleboim |
| collection | DOAJ |
| description | This paper gives a study of a two dimensional version of the theory of normal surfaces; namely, a study o normal curves and their relations with respect to geodesic curves. This study results with a nice discrete approximation of geodesics embedded in a triangulated orientable Riemannian surface. Experimental results of the two dimensional case are given as well. |
| first_indexed | 2024-12-10T19:19:26Z |
| format | Article |
| id | doaj.art-318d121d5a9c4845be4d13f005987888 |
| institution | Directory Open Access Journal |
| issn | 2075-1680 |
| language | English |
| last_indexed | 2024-12-10T19:19:26Z |
| publishDate | 2017-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Axioms |
| spelling | doaj.art-318d121d5a9c4845be4d13f0059878882022-12-22T01:36:31ZengMDPI AGAxioms2075-16802017-09-01632610.3390/axioms6030026axioms6030026From Normal Surfaces to Normal Curves to Geodesics on SurfacesEli Appleboim0Faculty of Electrical Engineering, Technion, Haifa 3200, IsraelThis paper gives a study of a two dimensional version of the theory of normal surfaces; namely, a study o normal curves and their relations with respect to geodesic curves. This study results with a nice discrete approximation of geodesics embedded in a triangulated orientable Riemannian surface. Experimental results of the two dimensional case are given as well.https://www.mdpi.com/2075-1680/6/3/263-manifoldleast area surfacenormal surfacegeodesicnormal curve |
| spellingShingle | Eli Appleboim From Normal Surfaces to Normal Curves to Geodesics on Surfaces Axioms 3-manifold least area surface normal surface geodesic normal curve |
| title | From Normal Surfaces to Normal Curves to Geodesics on Surfaces |
| title_full | From Normal Surfaces to Normal Curves to Geodesics on Surfaces |
| title_fullStr | From Normal Surfaces to Normal Curves to Geodesics on Surfaces |
| title_full_unstemmed | From Normal Surfaces to Normal Curves to Geodesics on Surfaces |
| title_short | From Normal Surfaces to Normal Curves to Geodesics on Surfaces |
| title_sort | from normal surfaces to normal curves to geodesics on surfaces |
| topic | 3-manifold least area surface normal surface geodesic normal curve |
| url | https://www.mdpi.com/2075-1680/6/3/26 |
| work_keys_str_mv | AT eliappleboim fromnormalsurfacestonormalcurvestogeodesicsonsurfaces |