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ISSN : 1226-0657

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Vol.1 No.1
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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
1994, v.1 no.1, pp.13-18
Kang, Bong-Koo
Kang,, B. (1994). . Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 1(1), 13-18.
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Abstract

The study of the integral of the scalar curvature, <TEX>$A(g)\;=\;{\int}_M\;RdV_9$</TEX> as a functional on the set M of all Riemannian metrics of the same total volume on a compact orient able manifold M is now classical, dating back to Hilbert [6] (see also Nagano [8]). Riemannian metric g is a critical point of A(g) if and only if g is an Einstein metric.(omitted)

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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