Positive scalar curvature and a new index theory for noncompact manifolds

Positive scalar curvature and a new index theory for noncompact manifolds

In this article, we develop a new index theory for noncompact manifolds endowed with an admissible exhaustion by compact sets. This index theory allows us to provide examples of noncompact manifolds with exotic positive scalar curvature phenomena.

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Veröffentlicht in:Journal of geometry and physics 2020-03, Vol.149, p.103575, Article 103575
Hauptverfasser: Chang, Stanley, Weinberger, Shmuel, Yu, Guoliang
Format: Artikel
Sprache:eng
Schlagworte:
Index theory
Noncompact manifolds
Positive scalar curvature
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Zusammenfassung:In this article, we develop a new index theory for noncompact manifolds endowed with an admissible exhaustion by compact sets. This index theory allows us to provide examples of noncompact manifolds with exotic positive scalar curvature phenomena.
ISSN:0393-0440
1879-1662
DOI:10.1016/j.geomphys.2019.103575