Deformaciones isométricas infinitesimales de superficies multidimensionales ensambladas
The article introduces the concept of multidimensional pasted surfaces and considers the case of different dimensions in the surfaces to be pasted. Infinitesimal deformations of such surfaces are also considered. In a general way, it is proved that, if the surface pieces have first order infinitesim...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Universidad de Costa Rica
2012-04-01
|
| Series: | Revista de Matemática: Teoría y Aplicaciones |
| Online Access: | https://revistas.ucr.ac.cr/index.php/matematica/article/view/195 |
| _version_ | 1797705969190305792 |
|---|---|
| author | Pavel Markov Olman Trejos |
| author_facet | Pavel Markov Olman Trejos |
| author_sort | Pavel Markov |
| collection | DOAJ |
| description | The article introduces the concept of multidimensional pasted surfaces and considers the case of different dimensions in the surfaces to be pasted. Infinitesimal deformations of such surfaces are also considered. In a general way, it is proved that, if the surface pieces have first order infinitesimal rigidity, then the pasted surface contains infinitesimal rigidity of first order. |
| first_indexed | 2024-03-12T05:44:13Z |
| format | Article |
| id | doaj.art-251d7f1bd5be4e2780cf112f37f150f9 |
| institution | Directory Open Access Journal |
| issn | 2215-3373 |
| language | English |
| last_indexed | 2024-03-12T05:44:13Z |
| publishDate | 2012-04-01 |
| publisher | Universidad de Costa Rica |
| record_format | Article |
| series | Revista de Matemática: Teoría y Aplicaciones |
| spelling | doaj.art-251d7f1bd5be4e2780cf112f37f150f92023-09-03T05:42:57ZengUniversidad de Costa RicaRevista de Matemática: Teoría y Aplicaciones2215-33732012-04-0181273210.15517/rmta.v8i1.195180Deformaciones isométricas infinitesimales de superficies multidimensionales ensambladasPavel Markov0Olman Trejos1State University of Rostov-na-Donu, Department of Geometry, Faculty of MathematicsState University of Rostov-na-Donu, Department of Geometry, Faculty of MathematicsThe article introduces the concept of multidimensional pasted surfaces and considers the case of different dimensions in the surfaces to be pasted. Infinitesimal deformations of such surfaces are also considered. In a general way, it is proved that, if the surface pieces have first order infinitesimal rigidity, then the pasted surface contains infinitesimal rigidity of first order.https://revistas.ucr.ac.cr/index.php/matematica/article/view/195 |
| spellingShingle | Pavel Markov Olman Trejos Deformaciones isométricas infinitesimales de superficies multidimensionales ensambladas Revista de Matemática: Teoría y Aplicaciones |
| title | Deformaciones isométricas infinitesimales de superficies multidimensionales ensambladas |
| title_full | Deformaciones isométricas infinitesimales de superficies multidimensionales ensambladas |
| title_fullStr | Deformaciones isométricas infinitesimales de superficies multidimensionales ensambladas |
| title_full_unstemmed | Deformaciones isométricas infinitesimales de superficies multidimensionales ensambladas |
| title_short | Deformaciones isométricas infinitesimales de superficies multidimensionales ensambladas |
| title_sort | deformaciones isometricas infinitesimales de superficies multidimensionales ensambladas |
| url | https://revistas.ucr.ac.cr/index.php/matematica/article/view/195 |
| work_keys_str_mv | AT pavelmarkov deformacionesisometricasinfinitesimalesdesuperficiesmultidimensionalesensambladas AT olmantrejos deformacionesisometricasinfinitesimalesdesuperficiesmultidimensionalesensambladas |