The first diameter of 3-manifolds of positive scalar curvature

Mikhail Katz

doi:10.1090/S0002-9939-1988-0962834-9

The first diameter of 3-manifolds of positive scalar curvature

Mikhail Katz

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

We see;…niversal upper bound for the first diameter of 3-manifolds of scalar curvature ≥ +1. We find it in the case of finite fundamental group by usin;…ombinatorial theorem about finite trees, and in the case when π₁ is infinite cyclic by usin;…eak notion o;…#x03C0;₁-equivariant Busemann function.

Original language	English
Pages (from-to)	591-595
Number of pages	5
Journal	Proceedings of the American Mathematical Society
Volume	104
Issue number	2
DOIs	https://doi.org/10.1090/S0002-9939-1988-0962834-9
State	Published - 1 Oct 1988
Externally published	Yes

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10.1090/S0002-9939-1988-0962834-9

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The first diameter of 3-manifolds of positive scalar curvature

Abstract

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