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http://dx.doi.org/10.4134/BKMS.2013.50.3.867

THREE DIMENSIONAL CRITICAL POINT OF THE TOTAL SCALAR CURVATURE  

Hwang, Seungsu (Department of Mathematics Chung-Ang University)
Publication Information
Bulletin of the Korean Mathematical Society / v.50, no.3, 2013 , pp. 867-871 More about this Journal
Abstract
It has been conjectured that, on a compact 3-dimensional orientable manifold, a critical point of the total scalar curvature restricted to the space of constant scalar curvature metrics of unit volume is Einstein. In this paper we prove this conjecture under a condition that ker $s^{\prime}^*_g{\neq}0$, which generalizes the previous partial results.
Keywords
total scalar curvature; critical point metric; Einstein metric;
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Times Cited By KSCI : 2  (Citation Analysis)
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