On Einstein Manifolds of Positive Sectional Curvature |
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Authors: | Matthew J. Gursky Claude LeBrun |
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Affiliation: | (1) Department of Mathematics, Indiana University, Bloomington, IN, 47405, U.S.A.;(2) Department of Mathematics, State University of New York, Stony Brook, NY, 11794-3651, U.S.A. |
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Abstract: | Let (M, g) be a compact oriented four-dimensional Einstein manifold. If M has positive intersection form and g has non-negative sectional curvature, we show that, up to rescaling and isometry, (M, g) is 2, with its standard Fubini–Study metric. |
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Keywords: | Einstein manifold scalar curvature sectional curvature Weyl curvature |
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