INVARIANTS IN STRATIFICATIONS OF SPEEDS OF ANY ORDER
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Abstract
In work synthesis of transformation of Ostrogradsky in velocity stratification of any odd order induced
by non degenerate Lagrange function. The law of transformation of impulses of any order when replacing
coordinates in base of stratification is investigated. They will be transformed as tensors of type
(0,1) (covector).
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References
Дубровин, В.А. Современная геометрия. Методы и приложения / В.А. Дубровин, С.П. Новиков, А.Т. Фоменко. – М. : УРСС, 1994.
Рашевский, П.К. Риманова геометрия и тензорный анализ / П.К. Рашевский. – М. : Гостехиздат, 1956.
Погорелов, А.В. Дифференциальная геометрия / А.В. Погорелов. – М. : Наука, 1974.
Арнольд, В.И. Математические методы классической механики / В.И. Арнольд. – М. : Наука, 1974.
Годбийон, К. Дифференциальная геометрия и аналитическая механика / К. Годбийон. – М. : Мир, 1973.
Дирак, П. Обобщенная гамильтонова динамика / П. Дирак // Вариационные принципы механики : сб. – М. : Физматгиз, 1959.
Дирак, П. Принципы квантовой механики / П. Дирак. – М. : Мир, 1979.
Дирак П. Лекции по квантовой механике / П. Дирак. – М. : Мир, 1968.
Трофимов, В.В. Алгебра и геометрия интегрируемых гамильтоновых и дифференциальных уравнений / В.В.Трофимов, А.Т. Фоменко. – М. : Факториал, 1995.
Кобаяси, Ш. Основы дифференциальной геометрии : в 2 т. / Ш. Кобаяси, К. Номидзу. – М. : Наука, 1981.
Пастухов, Ю.Ф. Исследование решения обратной вариационной задачи : автореф. дис. … канд. физ.-мат. наук : 01.01.04 (геометрия и топология) / Ю.Ф. Пастухов. – М., 1996. – 9с.
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