Negative scalar curvature metrics on noncompact manifolds

Negative scalar curvature metrics on noncompact manifolds
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by John Bland and Morris Kalka PDF

Trans. Amer. Math. Soc. 316 (1989), 433-446 Request permission

In this paper we prove that every noncompact smooth manifold admits a complete metric of constant negative scalar curvature.

References

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Morse theory