The existence of the surface with edge in Minkowsky space with the given Grassman image
One considers the problem connected with the finding of the non-isotropic surface in Minkowsky space with the help of its Grassman image in the global aspect. This problem can be reduced to the proof of the existence of the solution of the partial differential equation of the second order. The paper...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Odesa National University of Technology
2018-03-01
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| Series: | Pracì Mìžnarodnogo Geometričnogo Centru |
| Subjects: | |
| Online Access: | http:////journals.onaft.edu.ua/index.php/geometry/article/view/917 |
| _version_ | 1811226450158682112 |
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| author | Marina Grechneva Polina Stegantseva |
| author_facet | Marina Grechneva Polina Stegantseva |
| author_sort | Marina Grechneva |
| collection | DOAJ |
| description | One considers the problem connected with the finding of the non-isotropic surface in Minkowsky space with the help of its Grassman image in the global aspect. This problem can be reduced to the proof of the existence of the solution of the partial differential equation of the second order. The paper deals with the hyperbolic case. One describes the technique of the specialization of the moving frame of the surface. This technique is based on the metric properties of Minkowsky space. |
| first_indexed | 2024-04-12T09:25:20Z |
| format | Article |
| id | doaj.art-f49c189355eb43269bc3fd2a2e1217b2 |
| institution | Directory Open Access Journal |
| issn | 2072-9812 2409-8906 |
| language | English |
| last_indexed | 2024-04-12T09:25:20Z |
| publishDate | 2018-03-01 |
| publisher | Odesa National University of Technology |
| record_format | Article |
| series | Pracì Mìžnarodnogo Geometričnogo Centru |
| spelling | doaj.art-f49c189355eb43269bc3fd2a2e1217b22022-12-22T03:38:30ZengOdesa National University of TechnologyPracì Mìžnarodnogo Geometričnogo Centru2072-98122409-89062018-03-0111110.15673/tmgc.v11i1.917917The existence of the surface with edge in Minkowsky space with the given Grassman imageMarina Grechneva0Polina Stegantseva1Zaporizhzhya National UniversityZaporizhzhya National UniversityOne considers the problem connected with the finding of the non-isotropic surface in Minkowsky space with the help of its Grassman image in the global aspect. This problem can be reduced to the proof of the existence of the solution of the partial differential equation of the second order. The paper deals with the hyperbolic case. One describes the technique of the specialization of the moving frame of the surface. This technique is based on the metric properties of Minkowsky space.//journals.onaft.edu.ua/index.php/geometry/article/view/917Minkowski spaceGrassman imagetimelike surface |
| spellingShingle | Marina Grechneva Polina Stegantseva The existence of the surface with edge in Minkowsky space with the given Grassman image Pracì Mìžnarodnogo Geometričnogo Centru Minkowski space Grassman image timelike surface |
| title | The existence of the surface with edge in Minkowsky space with the given Grassman image |
| title_full | The existence of the surface with edge in Minkowsky space with the given Grassman image |
| title_fullStr | The existence of the surface with edge in Minkowsky space with the given Grassman image |
| title_full_unstemmed | The existence of the surface with edge in Minkowsky space with the given Grassman image |
| title_short | The existence of the surface with edge in Minkowsky space with the given Grassman image |
| title_sort | existence of the surface with edge in minkowsky space with the given grassman image |
| topic | Minkowski space Grassman image timelike surface |
| url | http:////journals.onaft.edu.ua/index.php/geometry/article/view/917 |
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