Iterative calculus on tangent floors

[1] Asanov G.S., Fibered Generalization of the Gauge Field Theory. Finslerian and Jet Gauge Fields (in Russian), Univ. Moscow Eds., Moscow, 1989.Search in Google Scholar

[2] Atanasiu Gh., Balan V., Brînzei N., Rahula M., Differential-Geometric Structures. Tangent Bundles, Connections in Fiber Bundles, Exponential Law and Jet Spaces (in Russian), Librokom Eds., Moscow, 2010.Search in Google Scholar

[3] Atanasiu Gh., Balan V., Brînzei N., Rahula M., Differential Geometry of Second Order. Miron-Atanasiu Theory (in Russian), Librokom Eds., Moscow, 2010.Search in Google Scholar

[4] Balan V., Rahula M., Voicu N., Tangent Structures in Geometry and Their Applications, KRASAND, Moscow, 2013.Search in Google Scholar

[5] Bertram W., Differential Geometry, Lie Groups and Symmetric Spaces over General Base Fields and Rings, Memoirs of AMS 900, 2008.10.1090/memo/0900Search in Google Scholar

[6] Ehresmann Ch., Les connexions infinitésimales dans un espace fibré differentiable, Coll. de Topologie, Bruxelles, CBRM (1950), 29-55; Œuvres Complètes, t. I, 28, 179-204.Search in Google Scholar

[7] Ehresmann Ch., Catégories doubles et catégories structurées, C.R. Acad. Sci., Paris, 256(1958), 1198-1201.Search in Google Scholar

[8] Godbillon Cl., Géométrie Differentielle et Mécanique Analytique, Hermann, Paris, 1969.Search in Google Scholar

[9] Laptev G.F., About invariant analytic theory of differentiable mappings (in Rus- sian), Tr. Geom. Sem., VINITI, 6(1974), 37-42.Search in Google Scholar

[10] Miron R., The Geometry of Higher Order Finsler Spaces, Hadronic Press, USA, 1998.10.1007/978-94-017-3338-0Search in Google Scholar

[11] Pohl W.F., Differential geometry of higher order, Topology, 1(1962), 169-211.10.1016/0040-9383(62)90103-9Search in Google Scholar

[12] Pradines J., Suites exactes vectorielles doubles et connexions, C.R. Acad. Sci., Paris, 278(1974), 1587-1590.Search in Google Scholar

[13] Rahula M., Consecutive derivations on a variety (in Russian), Utch. Zapiski Tartu-skogo Un-ta., 129(1962), 37-61.Search in Google Scholar

[14] Roux A., Jets et connexions, Pub. Dep. Math., 7(1970), no. 4, 1-43.Search in Google Scholar

[15] Schouten J.A., Über nicht-holonome - Übertragungen in einer Ln, Math. Zeitschrift, 30, S, 1929, 149-172.10.1007/BF01187758Open DOISearch in Google Scholar

[16] Shen, Z., Lectures on Finsler Geometry, World Scientific, 2001.10.1142/4619Search in Google Scholar

[17] White J.T., The Method of Iterated Tangents with Applications in Local Riemannian Geometry, Pitman Publ., 1982.Search in Google Scholar