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On conformally recurrent spaces of second order

Published online by Cambridge University Press:  09 April 2009

M. C. Chaki  and
A. N. Roy Chowdhury
M. C. Chaki
Affiliation:
Department of Pure Mathematics University of Calcutta
A. N. Roy Chowdhury
Affiliation:
Department of Mathematics Durgapur Engineering College
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In a recent paper [1] Adati and Miyazawa studied conformally recurrent spaces, that is, Riemannian spaces defined by where is the conformal curvature tensor: λi is a non-zero vector and comma denotes covariant differentiation with respect to the metric tensor gij.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 10 , Issue 1-2 , August 1969 , pp. 155 - 161
Copyright
Copyright © Australian Mathematical Society 1969

References

[1]Adati, T. and Miyazawa, T., ‘On a Riemannian space with recurrent conformal curvature’, Tensor N.S., 18 (1967), 348–354.Google Scholar
[2]Lichnerowicz, A., ‘Courbure, nombres de Betti, et espaces symétriques’, Proc. Int. Cong. of Math. 2 (1960), 216–222.Google Scholar
[3]Walker, A. G., ‘On Ruse's spaces of recurrent curvature’, Proc. Lond. Math. Soc. (2) 52 (1950), 36–34.CrossRefGoogle Scholar
[4]Chaki, M. C. and Chowdhury, A. N. Roy, ‘On Ricci recurrent spaces of Second Order’, Indian. J. Math. 9 (1967).Google Scholar