Abstract
If M is a compact spin manifold, we give relationships between the vanishing of Â(M) and the possibility that M can collapse with curvature bounded below.
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Communicated by Robert Brooks
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Lott, J. Â-genus and collapsing. J Geom Anal 10, 529–543 (2000). https://doi.org/10.1007/BF02921948
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DOI: https://doi.org/10.1007/BF02921948