Vector fields of zero total curvature of the second type in fore-dimension space
| Parent link: | Bulletin of the Tomsk Polytechnic University/ Tomsk Polytechnic University (TPU).— , 2006-2007 Vol. 310, № 1.— 2007.— [P. 37-42] |
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| Özet: | Заглавие с титульного листа Электронная версия печатной публикации Geometry of flat vector fields for which total curvature of the second kind equals zero in a domain of four-dimensional Euclidean space has been studied. These vector fields are classified depending on rank of the fundamental linear operator. Geometrical properties of Non-holonomic Pfaffian variety orthogonal to the vector field are investigated for each class. An example of a vector field with constant nonholonomicity vector different from zero is constructed. The research is carried out by the Cartan's method of exterior forms within moving frames. |
| Dil: | İngilizce |
| Baskı/Yayın Bilgisi: |
2007
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| Seri Bilgileri: | Mathematics and mechanics. Physics |
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| Online Erişim: | http://www.lib.tpu.ru/fulltext/v/Bulletin_TPU/2007/v310eng/i1/08.pdf |
| Materyal Türü: | Elektronik Kitap Bölümü |
| KOHA link: | https://koha.lib.tpu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=180601 |
| Fiziksel Özellikler: | 1 файл (362 Кб) |
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| Özet: | Заглавие с титульного листа Электронная версия печатной публикации Geometry of flat vector fields for which total curvature of the second kind equals zero in a domain of four-dimensional Euclidean space has been studied. These vector fields are classified depending on rank of the fundamental linear operator. Geometrical properties of Non-holonomic Pfaffian variety orthogonal to the vector field are investigated for each class. An example of a vector field with constant nonholonomicity vector different from zero is constructed. The research is carried out by the Cartan's method of exterior forms within moving frames. |