On Betti Numbers of Riemannian Spaces

Yasuro TOMONAGA

doi:10.2969/jmsj/00210093

Yasuro TOMONAGA

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JOURNAL FREE ACCESS

1950 Volume 2 Issue 1-2 Pages 93-104

DOI https://doi.org/10.2969/jmsj/00210093

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Published: 1950 Received: June 15, 1949 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: Wrong : 1). H. Iwamoto. The topology of Riemann spaces and the exact differential forms which are invariant under the groups of holonomy. (In Japanese.) Holonomy Gun Kenkyû, No. 7, 1948.
2) de Rham. Sur l'analysis situs des variétes á n dimensions J. Math. Pures. Appl., Vol. 10, 1930, pp. 115-200.
3) W.V.D. Hodge. The theory and applications of harmonic integrals, Camb. Univ. Press, 1941.
4) T. Y. Thomas. Some simple applications of Green's theorem for compact Riemann space, Tohoku Math. J., Vol. 46, 1940, pp. 261-266.
5) S. Bochner, Remark on the theorem of Green, Duke Math. J., 1937, pp. 334-338.
6) K. Yano, K. Takano and Y. Tomonaga. On the infinitesimsal deformations of curves in the space with linear connection. Jap. J. of Math., Vol. 19, 1948, pp. 433-477.
7) S. Bochner. Curvature and Betti numbers, Ann. of Math., 1948, pp. 379-385.

Right : [1]. H. Iwamoto. The topology of Riemann spaces and the exact differential forms which are invariant under the groups of holonomy. (In Japanese.) Holonomy Gun Kenkyû, No. 7, 1948.
[2] de Rham. Sur l'analysis situs des variétes á n dimensions J. Math. Pures. Appl., Vol. 10, 1930, pp. 115-200.
[3] W. V. D. Hodge. The theory and applications of harmonic integrals, Camb. Univ. Press, 1941.
[4] T. Y. Thomas. Some simple applications of Green's theorem for compact Riemann space, Tohoku Math. J., Vol. 46, 1940, pp. 261-266.
[5] S. Bochner, Remark on the theorem of Green, Duke Math. J., 1937, pp. 334-338.
[6] K. Yano, K. Takano and Y. Tomonaga. On the infinitesimsal deformations of curves in the space with linear connection. Jap. J. of Math., Vol. 19, 1948, pp. 433-477.
[7] S. Bochner. Curvature and Betti numbers, Ann. of Math., 1948, pp. 379-385.

Date of correction: August 29, 2006 Reason for correction: - Correction: PDF FILE Details: -

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