A generalization of K. T. Chen’s invariants for paths under transformation groups
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- Trans. Amer. Math. Soc. 105 (1962), 453-461 Request permission
References
- Kuo-Tsai Chen, Integration in free groups, Ann. of Math. (2) 54 (1951), 147–162. MR 42414, DOI 10.2307/1969316
- Kuo-Tsai Chen, Iterated integrals and exponential homomorphisms, Proc. London Math. Soc. (3) 4 (1954), 502–512. MR 73174, DOI 10.1112/plms/s3-4.1.502
- Kuo-Tsai Chen, Integration of paths, geometric invariants and a generalized Baker-Hausdorff formula, Ann. of Math. (2) 65 (1957), 163–178. MR 85251, DOI 10.2307/1969671
- Kuo-Tsai Chen, Integration of paths—a faithful representation of paths by non-commutative formal power series, Trans. Amer. Math. Soc. 89 (1958), 395–407. MR 106258, DOI 10.1090/S0002-9947-1958-0106258-0 C. Ehresmann, Introduction à la théorie des structures infinitesimals et des pseudo-groupes de Lie, Colloque International de Géométrie Différentielle du C.N.R.S., Paris, 1953.
- Édouard Goursat, A course in mathematical analysis: Vol 1: Derivatives and differentials, definite integrals, expansion in series, applications to geometry. Vol. 2, Part 1: Functions of a complex variable. Vol. 2, Part 2: Differential equations, Dover Publications, Inc., New York, 1959. Translated by E. R. Hedrick (Vol. 1), and E. R. Hedrick and O. Dunkel (Vol. 2). MR 0106155
Additional Information
- © Copyright 1962 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 105 (1962), 453-461
- MSC: Primary 22.40; Secondary 53.45
- DOI: https://doi.org/10.1090/S0002-9947-1962-0141728-1
- MathSciNet review: 0141728