期刊名称：International Journal of Mathematics and Mathematical Sciences
印刷版ISSN：0161-1712
电子版ISSN：1687-0425
出版年度：1991
卷号：14
DOI：10.1155/S0161171291000807
出版社：Hindawi Publishing Corporation
摘要：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.
