On Preservation of the Order of Flattening by an Induced Diffeomorphism

• Дата: 2013
• Автори: Zubrilin, K. M., Зубрилин, К. М.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2013
• Онлайн доступ: https://umj.imath.kiev.ua/index.php/umj/article/view/2528
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We consider the structure of a smooth curve from the viewpoint of the concept of flattening and establish conditions under which an r-geodesic curve of the base manifold is the projection of the r-geodesic curve in a tangent bundle of the second order. The necessary and sufficient condition under wh...