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Embedding of Rn into E(n+1)

C. Hernández-Aguilar, A. Domínguez-Pacheco, J. López-Bonilla


We consider an identity, for any Rn embedded into En+1, between the second fundamental form and the corresponding intrinsic geometry, with special emphasis in the case n = 4, which allows to show that the Pandey-Sharma-Modak spacetime is a counterexample for the Boyer-Plebañski conjecture.

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