Osculating paraboloid
Osculating paraboloid of second order have been studied in classical differential geometry. In this article we generalize this concept to osculating paraboloids of higher order. This yields a visualization of the local properties of a given surface which depend on the derivatives of higher order.
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Vilnius University Press
2023-09-01
|
| Series: | Lietuvos Matematikos Rinkinys |
| Subjects: | |
| Online Access: | https://www.zurnalai.vu.lt/LMR/article/view/30577 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1825197219525951488 |
|---|---|
| author | Kazimieras Navickis |
| author_facet | Kazimieras Navickis |
| author_sort | Kazimieras Navickis |
| collection | DOAJ |
| description |
Osculating paraboloid of second order have been studied in classical differential geometry. In this article we generalize this concept to osculating paraboloids of higher order. This yields a visualization of the local properties of a given surface which depend on the derivatives of higher order.
|
| format | Article |
| id | doaj-art-14a8b71204e74d7f8d1e987c32cf3f3b |
| institution | Kabale University |
| issn | 0132-2818 2335-898X |
| language | English |
| publishDate | 2023-09-01 |
| publisher | Vilnius University Press |
| record_format | Article |
| series | Lietuvos Matematikos Rinkinys |
| spelling | doaj-art-14a8b71204e74d7f8d1e987c32cf3f3b2025-02-11T18:12:57ZengVilnius University PressLietuvos Matematikos Rinkinys0132-28182335-898X2023-09-0146spec.10.15388/LMR.2006.30577Osculating paraboloidKazimieras Navickis0Vilnius University Osculating paraboloid of second order have been studied in classical differential geometry. In this article we generalize this concept to osculating paraboloids of higher order. This yields a visualization of the local properties of a given surface which depend on the derivatives of higher order. https://www.zurnalai.vu.lt/LMR/article/view/30577surfaceosculating surfaceosculating paraboloid |
| spellingShingle | Kazimieras Navickis Osculating paraboloid Lietuvos Matematikos Rinkinys surface osculating surface osculating paraboloid |
| title | Osculating paraboloid |
| title_full | Osculating paraboloid |
| title_fullStr | Osculating paraboloid |
| title_full_unstemmed | Osculating paraboloid |
| title_short | Osculating paraboloid |
| title_sort | osculating paraboloid |
| topic | surface osculating surface osculating paraboloid |
| url | https://www.zurnalai.vu.lt/LMR/article/view/30577 |
| work_keys_str_mv | AT kazimierasnavickis osculatingparaboloid |