3-manifolds with positive flat conformal structure

Aiyama, Reiko; Akutagawa, Kazuo

doi:10.1090/S0002-9939-2012-11423-6

$3$-manifolds with positive flat conformal structure
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by Reiko Aiyama and Kazuo Akutagawa PDF

Proc. Amer. Math. Soc. 140 (2012), 3587-3592 Request permission

Abstract:

In this paper, we consider a closed $3$-manifold $M$ with flat conformal structure $C$. We will prove that if the Yamabe constant of $(M, C)$ is positive, then $(M, C)$ is Kleinian.

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