References
- Einstein manifolds A.L. Besse
- Einstein-Thorpe Manifolds J.M.Kim
- Annals of Mathematics v.80 Sectional curvatures and characteristic classes J.A. Thorpe
- Journal of Mathematics and Mechanics v.18 Some remarks on the Gauss-Bonnet integral
Bulletin of the Korean Mathematical Society (대한수학회보)
- Volume 37 Issue 1
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- Pages.85-90
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- 2000
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- 1015-8634(pISSN)
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- 2234-3016(eISSN)
COMPARISON OF EINSTEIN MANIFOLDS WITH THORPE MANIFOLDS
- Kim, Ho-Bub (Department of Mathematics, Yonsei University) ;
- Kim, Jae-Man (Department of Mathematics, Yonsei University)
- Published : 2000.02.01
Abstract
On Riemannian manifolds of dimension 4 the Einstein condition is equivalent to the Thorpe condition. In this paper, we construct a few metrics which we Einstein but not Thorpe, and vice versa in dimensions larger than 4.