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A characterization of four-dimensional Einstein manifolds
1973
Proceedings of the American Mathematical Society
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It is shown that for any P on a four-dimensional Einstein manifold M, there exists an orthonormal basis {Y,} in T"(M) such that all the sectional curvatures K( Y(, Y,) are equal.
doi:10.1090/s0002-9939-1973-0332096-3
fatcat:xwdjrnsoxbc75dp76ntctanwci