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On concircular transformations in Riemannian spaces

Part of: Local differential geometry Classical differential geometry

Published online by Cambridge University Press:  09 April 2009

Luo Chongshan
Luo Chongshan
Affiliation:
Department of Mathematics, Sichuan Teachers' College, Chengdu, People's Republic of China
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Abstract

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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.

MSC classification

Secondary: 53B20: Local Riemannian geometry 53A30: Conformal differential geometry
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 40 , Issue 2 , April 1986 , pp. 218 - 225
Copyright
Copyright Australian Mathematical Society 1986

References

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