The first diameter of -manifolds of positive scalar curvature
Author:
Mikhail Katz
Journal:
Proc. Amer. Math. Soc. 104 (1988), 591-595
MSC:
Primary 53C20
DOI:
https://doi.org/10.1090/S0002-9939-1988-0962834-9
MathSciNet review:
962834
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Abstract | References | Similar Articles | Additional Information
Abstract: We seek a universal upper bound for the first diameter of -manifolds of scalar curvature
. We find it in the case of finite fundamental group by using a combinatorial theorem about finite trees, and in the case when
is infinite cyclic by using a weak notion of a
-equivariant Busemann function.
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1988-0962834-9
Article copyright:
© Copyright 1988
American Mathematical Society