A Simple Derivation of Kronecker's Relation among the Minors of a Symmetric Determinant.
نویسنده
چکیده
about a linear fractional transformation of the normal coordinates at every point. * NATIONAL, RESEARCH FULLOW IN MATHIMATICS. 1 Cf. 0. Veblen, these PROCEXDINGS, 8, 1922, p. 192. 2 H. Weyl, Gottinger Nachrichten, 1921, p. 99. 3 A type of normal coordinates invariant under the change (1.1) has been given by 0. Veblen and J. M. Thomas in these PROCEEDINGS, 11, 1925, p. 204. 4 0. Veblen, "Remarks on the Foundations of Geometry," Butt. Amer. Math. Soc., 31 (1925), p. 131. 5 Cf. 0. Veblen and T. Y. Thomas, "The Geometry of Paths," Trans. Amer. Math. Soc., 25, 1923, p. 557. This paper will be referred to as G. 6 G., p. 563. G., p. 562. 8 G., p. 571. 9G., p. 575, formula (12.1). 10 G., p. 560. 11 G., p. 577. 12 G., p. 579, formula (13.16). 13 G., p. 559, formula (5.10). 14 G., P. 559. 15 In an article which appeared after the present paper had been sent to the printer, J. A. Schouten gives the result contained in the first sentence of this theorem. Cf. Trans. Amer. Math. Soc., 27, 1925, p. 453.
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عنوان ژورنال:
- Proceedings of the National Academy of Sciences of the United States of America
دوره 12 1 شماره
صفحات -
تاریخ انتشار 2005