Vector fields of zero total curvature of the second type in fore-dimension space [Electronic resource] / N. М. Onishchyk, D. L. Narezhneva

Уровень набора: (RuTPU)RU\TPU\book\169973, Bulletin of the Tomsk Polytechnic University / Tomsk Polytechnic University (TPU) = 2006-2007Основной Автор-лицо: Onishchyk, N. М.Альтернативный автор-лицо: Narezhneva, D. L.Язык: английский ; оригинала, русский.Страна: Россия.Описание: 1 файл (362 Кб)Серия: Mathematics and mechanics. PhysicsРезюме или реферат: 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..Примечания о наличии в документе библиографии/указателя: [Bibliography: p. 42 (4 titles)].Тематика: vector fields | zero total curvature | fore-dimension space | geometry | Euclidean space | linear operators | geometrical properties | Pfaffian variety | non-holonomic variety | classes | nonholonomicity | researches | Cartan's method of exterior forms | moving frames | электронный ресурс Ресурсы он-лайн:Щелкните здесь для доступа в онлайн
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[Bibliography: p. 42 (4 titles)]

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.

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