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Compact Manifolds with Positive Einstein Curvature

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Abstract

In this paper we study positive Einstein curvature which is a condition on the Riemann curvature tensor intermediate between positive scalar curvature and positive sectional curvature. We prove some constructions and obstructions for positive Einstein curvature on compact manifolds generalizing similar well known results for the scalar curvature. Finally, because our problem is relatively new, many open questions are included.

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Authors and Affiliations

  1. Department of Mathematics, College of Science, University of Bahrain, Isa Town, 32038, Bahrain

    M.-L. Labbi

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  1. M.-L. Labbi
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Labbi, ML. Compact Manifolds with Positive Einstein Curvature. Geometriae Dedicata 108, 205–217 (2004). https://doi.org/10.1007/s10711-004-0898-0

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  • DOI: https://doi.org/10.1007/s10711-004-0898-0

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