Hypersurfaces in a conformally flat space with curvature collineation

K. L. Duggal and R. Sharma

International Journal of Mathematics and Mathematical Sciences, 1991, vol. 14, 1-10

Abstract:

We classify the shape operators of Einstein and pseudo Einstein hypersurfaces in a conformally flat space with a symmetry called curvature collineation. We solve the fundamental problem of finding all possible forms of non-diagonalizable shape operators. A physical example of space-time with matter is presented to show that the energy condition has direct relation with the diagonalizability of shape operator.

Date: 1991
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:714047

DOI: 10.1155/S0161171291000807

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