Scalar curvature of Lie groups

Lai, Hêng Lung; Lue, Huei Shyong

doi:10.1090/S0002-9939-1981-0593479-4

Scalar curvature of Lie groups
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by Hêng Lung Lai and Huei Shyong Lue PDF

Proc. Amer. Math. Soc. 81 (1981), 311-315 Request permission

Abstract:

In this paper, we prove the following theorem: If $G$ is a connected Lie group, then $G$ admits left invariant metric of positive scalar curvature if and only if the universal covering space $\tilde G$ of $G$ is not homeomorphic to the Euclidean space.

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