##plugins.themes.bootstrap3.article.main##
Abstract
##plugins.themes.bootstrap3.article.details##
Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution (CC-BY) 4.0 License that allows others to share the work with an acknowledgment of the work’s authorship and initial publication in this journal.
Provided they are the owners of the copyright to their work, authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal’s published version of the work (e.g., post it to an institutional repository, in a journal or publish it in a book), with an acknowledgment of its initial publication in this journal.
Authors are permitted and encouraged to post their work online (e.g., in institutional repositories, disciplinary repositories, or on their website) prior to and during the submission process.
References
[2] Atanasiu Gh., Balan V., Brˆinzei N., Rahula M., Differential Geometry of Second Order. Miron-Atanasiu Theory (in Russian), Librokom Eds., Moscow, 2010.
[3] Bertram W., Differential Geometry, Lie Groups and Symmetric Spaces over General Base Fields and Rings, Memoirs of AMS, no. 900, 2008.
[4] Ehresmann Ch., Les connexions infinit´esimales dans un espace fibr´e diff´erentiable, Coll. de Topologie, Bruxelles, CBRM (1950), 29-55; uvres Compl`etes, t. I, 28, 179- 204.
[5] Ehresmann Ch., Extension du calcul des jets aux jets non holonomes, C.R. Acad. Sci., Paris, 239 (1954), 1762-1764.
[6] Ehresmann Ch., Les prolongements d’un espace fibr´e differentiable, Compte Rendu de l’Acad. Sci. Paris 240 (1955), 1755-1757.
[7] Ehresmann Ch., Cat´egories doubles et cat´egories structur´ees, C.R. Acad. Sci., Paris, 256(1958), 1198-1201.
[8] Godbillon Cl., G´eom´etrie Diff´erentielle et M´ecanique Analytique, Hermann, Paris, 1969.
[9] Kol´aˇr I., Michor P. W., Slov´ak J.: Natural Operations in Differential Geometry, Springer-Verlag, 1993.
[10] Laptev G.F., About invariant analytic theory of differentiable mappings (in Russian), Tr. Geom. sem., VINITI, 6(1974), 37-42.
[11] Miron R., The Geometry of Higher Order Finsler Spaces, Hadronic Press, USA, 1998.
[12] Pohl W.F., Differential geometry of higher order, topology, 1(1962), 169-211.
[13] Pradines J., Suites exactes vectorielles doubles et connexions, C.R. Acad. Sci., Paris, 278(1974), 1587-1590.
[14] Rahula M., New Problems in Differential Geometry, World Scientific, 1993.
[15] Rahula M., Tangent structures and analutical mechanics, Proceedings of Estonian Acad. Sci., 60(2011), 2, 98-103.
[16] Roux A., Jets et connexions, Pub. Dep. math., 7(1970), no4, 1-43.
[17] Schouten J.A., ¨ Uber nicht-holonome ¨ Ubertragungen in einer Ln, Math. Zeitschrift, 30, S, 1929, 149-172.
[18] White J.T., The Method of Iterated Tangents with Applications in Local Riemannian Geometry, Pitman Publ., 1982.
[19] Вагнер В.В., Tеория диференциальных объектов и основания диференциальной геометрии. Приложение к книге: Веблен, О., Уайтхед, Дж., Основания Диференциальной Геометрии, Москва, ИЛ, 1949, стр. 135-223.
[20] Евтушик, Л.Е., Структуры высших порядков. Воспоминания о профессоре Леониде Евгеньевиче Евтушике друзей, коллег и учеников, Москва: Интеллект-Центр, 2014, 424 с.