Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)



Scalar curvature of Lie groups

Authors: Hêng Lung Lai and Huei Shyong Lue
Journal: Proc. Amer. Math. Soc. 81 (1981), 311-315
MSC: Primary 53C20; Secondary 22E15
MathSciNet review: 593479
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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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Article copyright: © Copyright 1981 American Mathematical Society