On Einstein Manifolds of Positive Sectional Curvature |
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| Authors: | Matthew J Gursky Claude LeBrun |
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| Institution: | (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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