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The corresponding theorem for two Einstein spaces of zero scalar curvature holds provided the map be proper in the sense of § 7. 2.
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The writer is indebted to Professor J. A. Schouten for this elegant proof of the lemma.
E. Kasner, Amer. J. Math.43 (1921), pp. 20–28, and pp. 219–220; Math. Ann.85 (1922), p. 227–236.
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Brinkmann, H.W. Riemann spaces conformal to Einstein spaces. Math. Ann. 91, 269–278 (1924). https://doi.org/10.1007/BF01556083
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DOI: https://doi.org/10.1007/BF01556083