On conformal Riemann spaces

Minoru KURITA

doi:10.2969/jmsj/00710013

Minoru KURITA

著者情報

ジャーナルフリー

1955 年 7 巻 1 号 p. 13-31

DOI https://doi.org/10.2969/jmsj/00710013

詳細

Published: 1955 Received: 1954/03/30 Available on J-STAGE: 2006/08/29 Accepted: - Advance online publication: - Revised: -
訂正情報
訂正日: 2006/08/29 訂正理由: - 訂正箇所: 引用文献情報訂正内容: Wrong : 1) J. A. Schouten, Über die konforme Abbildung n-dimensionaler Mannigfaltigkeiten mit quadratischer Massbestimmung auf eine Mannigfaltigkeit mit euklidischer Massbestimmung, Math. Z,, 11 (1921), pp. 58-88.
2) M. Matsumoto, Conformally flat Riemann spaces of class 1, J. Math. Soc. Japan, 3 (1951), pp. 306-309.
3) L. L. verbickii, Geometry of conformal Euclidean spaces of class 1, Trudy Sem. Vektor. Tensor. Analizu., 9 (1952), pp. 146-182.
4) K. Yano, Concircular geometry, I. Concircular transformations, Proc. Imp. Acad. Japan, 16 (1940), pp. 195-200. II. Integrability conditions of ρ_μv=ψgηv, Proc. Imp. Acad. Japan, pp. 354-360. V. Einstein spaces, Proc. Imp. Acad. Japan, 18 (1942), pp. 446-451.
5) A. Fialkow, Conformal geodesics, Trans, Amer. Math. Soc., 45 (1939), pp. 443-473.
6) H. W. Brinkmann, Einstein spaces which are mapped conformally on each other, Math. Ann., 94 (1925), pp. 119-145.

Right : [1] J. A. Schouten, Über die konforme Abbildung n-dimensionaler Mannigfaltigkeiten mit quadratischer Massbestimmung auf eine Mannigfaltigkeit mit euklidischer Massbestimmung, Math. Z,, 11 (1921), pp. 58-88.
[2] M. Matsumoto, Conformally flat Riemann spaces of class 1, J. Math. Soc. Japan, 3 (1951), pp. 306-309.
[3] L. L. Verbickii, Geometry of conformal Euclidean spaces of class 1, Trudy Sem. Vektor. Tensor. Analizu., 9 (1952), pp. 146-182.
[4] K. Yano, Concircular geometry, I. Concircular transformations, Proc. Imp. Acad. Japan, 16 (1940), pp. 195-200. II. Integrability conditions of ρ_μν=ψgην, Proc. Imp. Acad. Japan, pp. 354-360. V. Einstein spaces, Proc. Imp. Acad. Japan, 18 (1942), pp. 446-451.
[5] A. Fialkow, Conformal geodesics, Trans, Amer. Math. Soc., 45 (1939), pp. 443-473.
[6] H. W. Brinkmann, Einstein spaces which are mapped conformally on each other, Math. Ann., 94 (1925), pp. 119-145.

訂正日: 2006/08/29 訂正理由: - 訂正箇所: PDFファイル訂正内容: -

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