• Title/Summary/Keyword: Harmonic vectors and tensors

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CONHARMONIC TRANSFORMATION AND CRITICAL RIEMANNIAN METRICS

  • Byung Hak Kim;In Bae Kim;Sun Mi Lee
    • Communications of the Korean Mathematical Society
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    • v.12 no.2
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    • pp.347-354
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    • 1997
  • The conharmonic transforamtion is a conformal transformation which satisfies a specified differential equation. Such a transformation was defined by Y. Ishi and we generalize his results. In particular, we obtain a necessary and sufficient condition for the invariance of critical Riemannian metrics under the conharmonic transformation.

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