## Systems of $$K$$-dimensional manifolds in an $$N$$-dimensional space.(English)Zbl 0003.16902

geometry
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 [1] The general geometry of paths, Annals of Mathematics (2)29 (1928), pp. 143-168. This paper will be referred to hereafter asPaths. · JFM 54.0757.06 [2] This means, of course, that we are dealing with a non-singular point of aK-spread. [3] See M. Janet,Les systèmes d’équations aux dérivées partielles (Mémorial des Sciences Mathématiques, fasc. XXI), p. 22. [4] Normal coordinates for the geometry of paths, Proceedings of the National Academy of Sciences8 (1922), pp. 192-197. · JFM 48.0843.01 [5] Paths (see 1)), § 8 Annals of Mathematics (2)29 (1928), pp. 143-168. [6] The geometry of paths, Transactions of the American Mathematical Society25 (1923), pp. 551-608, § 11. · JFM 50.0504.02 [7] Paths(see 1)), § 9 Annals of Mathematics (2)29 (1928), pp. 143-168. [8] Loc. cit. § 9 Annals of Mathematics (2)29 (1928), pp. 143-168.
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