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On concircular transformations in Riemannian spaces
Published online by Cambridge University Press: 09 April 2009
Abstract
This paper introduces a tensor that contains the Riemannian curvature tensor and the conformal curvature tensor as special examples in the Riemannian space (Mn, g), and by using this tensor we define C-semi-symmetric space. In this paper, we have the following main result: if there is a non-trivial concircular transformation between two C-semi-symmetric spaces, then both spaces are of quasi-constant curvature.
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- Copyright Australian Mathematical Society 1986
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