# Equivariant $3$-manifolds with positive scalar curvature

@inproceedings{Chow2021EquivariantW, title={Equivariant \$3\$-manifolds with positive scalar curvature}, author={Tsz-Kiu Aaron Chow and Yangyang Li}, year={2021} }

. In this paper, for any compact Lie group G , we show that the space of G -invariant Riemannian metrics with positive scalar curvature (PSC) on any closed three-manifold is either empty or contractible. In particular, we prove the generalized Smale conjecture for spherical three-orbifolds. Moreover, for connected G , we make a classiﬁcation of all PSC G -invariant three-manifolds.

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