한국수학교육학회지시리즈B:순수및응용수학 (The Pure and Applied Mathematics)

  • 제1권1호
  • /
  • Pages.13-18
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  • 1994
  • /
  • 1226-0657(pISSN)
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  • 2287-6081(eISSN)
한국수학교육학회 (Korean Society of Mathematical Education)
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NIJENHUIS TENSOR FUNCTIONAL ON A SUBSPACE OF METRICS

  • Kang, Bong-Koo (Department of Computer Science Sanju National Polytechnic University)
  • 발행 : 1994.12.01
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초록

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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