NIJENHUIS TENSOR FUNCTIONAL ON A SUBSPACE OF METRICS

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

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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