Conformally recurrent ( \kappa,\mu)-contact manifolds


Abstract


In this paper it is shown that a conformally recurrent (\kappa,\mu)-contact space M^{2n+1}, (n>1) is locally isometric to either (i) unit sphere S^{2n+1}(1) or (ii) E^{n+1} \times S^{n}(4)


DOI Code: 10.1285/i15900932v28n2p207

Keywords: Confomally recurrent; Contact metric manifolds; tangent sphere bundle

Classification: 53C15; 53D15

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