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On a type of Sasakian space

Published online by Cambridge University Press:  09 April 2009

M. C. Chaki  and
D. Ghosh
M. C. Chaki
Affiliation:
Department of Pure MathematicsCalcutta University
D. Ghosh
Affiliation:
Department of Pure MathematicsCalcutta University
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A Sasakian space [1]Mn (n = 2m + 1) is a Riemannian n-space with a positive definite metric tensor gij and a unit Killing vector field η which satisfies where the comma denotes covariant differentiation with respect to the metic tensor. In a recent paper [2] M. C. Chaki and A. N. Roy Chowdhury studied conformally recurrent spaces of second order, or briefly conformally 2-recurrent spaces, that is, non-flat Riemannian spaces Vn (n > 3) defined by where is the conformal curvature tensor: and alm is a tensor not identically zero.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 13 , Issue 4 , June 1972 , pp. 508 - 510
Copyright
Copyright © Australian Mathematical Society 1972

References

[1]Sasaki, S., Lecture note on almost contact manifolds Tohoku University (1965).Google Scholar
[2]Chaki, M. C. and Chowdhury, A. N. Roy, ‘On conformally recurrent Spaces of Second order’, Journ. Australian Math. Soc. 10 (1969), 155–161.CrossRefGoogle Scholar
[3]Okumura, M., ‘Some remarks on space with a certain contact structure’, Tohoku Math. J. 14 (1962), 135–145.CrossRefGoogle Scholar