Theory of invariants in the geometry of paths

Tsuneo SUGURI

doi:10.2969/jmsj/00430231

Tsuneo SUGURI

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1952 Volume 4 Issue 3-4 Pages 231-268

DOI https://doi.org/10.2969/jmsj/00430231

[Correction] Journal of the Mathematical Society of Japan Vol.5 No.1 (1953) pp.e1-e1

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Published: 1952 Received: December 05, 1951 Available on J-STAGE: August 29, 2006 Accepted: - Advance online publication: - Revised: -
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Date of correction: August 29, 2006 Reason for correction: - Correction: CITATION Details: Right : [1] E. Bortolotti, The geometry of the system of partial differential equations (Japanese), Tensor No. 4 (1941), 25-34.
[2] E. Cartan, Observations sur le mémoire précédent, Math. Zeits., 37 (1933), 619-622.
[3] S. S. Chern, Sur la géométrie d'un système d'équations différentielles du second order, Bull. Sci. Math., 63 (1939), 206-212.
[4] S. Hokari, Zur neuen Behandlung der Geometrie des Systems der gewöhnlichen Differentialgleichungen höherer Ordnung, Journ. Fac. Sci. Hokkaido Imp. Univ., (I) 8 (1939), 47-62.
[5] H. Hombu, On the geometry of paths of higher order, Mem, Fac. Sci. Kyusyu Imp. Univ., (A) 1 (1941), 129-142.
[6] D. D. Kosambi, On affine calculus of variations, Proc. Indian Acad., 2 (1935), 333-335.
[7] D. D. Kosambi, Path-spaces of higher order, Quart. Journ. Math., Oxford-Ser., 7 (1936), 94-104.
[8] A. Kawaguchi and H. Hombu, Die Geometrie des Systems der partiellen Differentialgleichungen, Journ. Fac. Sci, Hokkaido Imp. Univ., (I) 6 (1937), 21-62.
[9] T. Ohkubo, Die Geometrie der Differentialgleichungen dritter Ordnung, Jap. Journ. Math., 14 (1938), 59-66.
[10] W. Slebodzinski, Sur deux connexions affines généralisées, Prace. Mat. -Fizy., 43 (1935), 167-205.
[11] T. Suguri, The geometry of K-spreads of higher order, Mem. Fac. Sci. Kyusyu Imp. Univ., (A) 1 (1941), 143-166.
[12] T. Suguri, On the geometry of paths of the third order (Japanese), Kenkyu Hokoku Fac. Sci. Kyusyu Imp. Univ., (Math) 1 (1943), 65-78.
[13] T. Suguri, Theory of invariants in the geometry of paths, (I), (II), Proc. Japan Acad., 26, No. 2-5 (1950), 97-103, 104-10.
[14] T. Y. Thomas, The differential invariants of generalized spaces, Cambridge Univ. Press (1934).
[15] O. Veblen, Invariants of quadratic differential forms, Cambridge Tracts, No. 24 (1927).
[16] A. Wundheiler, Kovariante Ableitung und die Cesàroschen Unbeweglichkeitsbedingungen, Math. Zeits., 36 (1932), 104-109.
[17] A. Wundheiler, Rheonome Geometrie. Absolute Mechanik, Prace. Mat.-Fizy., 40 (1932), 97-142.
[18] K. Zorawski, Über gewisse Differentialinvarianten der Systeme von gewöhnlichen Differentialgleichungen zweiter Ordnung, Bull. Intern. Acad. des Sci. de Boheme, 20 (1915), 127-147

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