Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 1997; 12(2): 347-354

Printed June 1, 1997

Copyright © The Korean Mathematical Society.

Conharmonic transformation and critical Riemannian metrics

Byung Hak Kim, In-Bae Kim, Sun Mi Lee

Kyung Hee University, Hankuk University of Foreign studies, Kyung Hee University

Abstract

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The conharmonic transformation 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: conformal transformation, conharmonic transformation, critical Riemannian metrics, Harmonic vectors and tensors

MSC numbers: 53A30, 53B20

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