The Euler characteristic of projectively flat manifolds with amenable fundamental groups

Kim, Hyuk; Lee, Hyunkoo

doi:10.1090/S0002-9939-1993-1151814-0

The Euler characteristic of projectively flat manifolds with amenable fundamental groups
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by Hyuk Kim and Hyunkoo Lee

Proc. Amer. Math. Soc. 118 (1993), 311-315

DOI: https://doi.org/10.1090/S0002-9939-1993-1151814-0

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Abstract:

The Euler characteristic of a closed projectively flat manifold with amenable fundamental group is shown to be nonnegative, and in fact zero if we further assume that the developing map is injective and the fundamental group is infinite.

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The geometry and topology of

manifolds