A characterization of four-dimensional Einstein manifolds
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- by Yi Ching Yen PDF
- Proc. Amer. Math. Soc. 40 (1973), 554-558 Request permission
Abstract:
It is shown that for any $P$ on a four-dimensional Einstein manifold $M$, there exists an orthonormal basis $\{ {Y_i}\}$ in ${T_p}(M)$ such that all the sectional curvatures $K({Y_i},{Y_j})$ are equal.References
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S. Tachibana, Riemannian geometry, Modem Math. Series, 1968. (Japanese)
Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 40 (1973), 554-558
- MSC: Primary 83.53
- DOI: https://doi.org/10.1090/S0002-9939-1973-0332096-3
- MathSciNet review: 0332096