Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
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CONHARMONIC TRANSFORMATION AND CRITICAL RIEMANNIAN METRICS

  • Byung Hak Kim (Department of Mathematics and Institute of Natural Sciences, Kyung Hee University, Suwon 449-701, Korea) ;
  • In Bae Kim (Department of Mathematics, Hankuk University of Foreign Studies, Seoul 130-791, Korea) ;
  • Sun Mi Lee (Department of Mathematics, Kyung Hee University, Suwon 449-701, Korea)
  • Published : 1997.04.01
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Abstract

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.

Keywords

References

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  4. Proc. Japan Academy v.71 no.Ser A Wraped products with critical Riemannian metric B. H. Kim
  5. J. Math. Soc. Japan v.29 Riemannian submersion and critical Riemonnian metrics Y. Muto
  6. Exercises on riemannian geometry S. Tachibana