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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.1 No.1

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NIJENHUIS TENSOR FUNCTIONAL ON A SUBSPACE OF METRICS

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
1994, v.1 no.1, pp.13-18
Kang, Bong-Koo (Department of Computer Science Sanju National Polytechnic University)
Kang, Bong-Koo. (1994). NIJENHUIS TENSOR FUNCTIONAL ON A SUBSPACE OF METRICS, 1(1), 13-18.

Abstract

The study of the integral of the scalar curvature, $A(g)\;=\;{\int}_M\;RdV_9$ 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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한국수학교육학회지시리즈B:순수및응용수학

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