On Certain Properties of Separable Spaces.

نویسنده

  • S Lefschetz
چکیده

3Cf. Fubini, loc. cit., p. 54. 4 If the determinant gx, I for x, ,u = 1, ,(q < n) is zero, real quantities e are defined by the equations gxtx = 0. The vector with the components 0, {a = o (or = q + 1, ... . n) is a real null vector, which is impossible, if the fundamental form is definite. In a similar manner it can be shown that the determinant I gjt for a-,= 1, ..., p cannot be zero for a definite form. 6 Cf. Bianchi, Lezioni sulla leoria dei gruppi continui finiti di trasformazioni, p. 521, 1918.

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عنوان ژورنال:
  • Proceedings of the National Academy of Sciences of the United States of America

دوره 18 2  شماره 

صفحات  -

تاریخ انتشار 2005