Relations between threshold constants for Yamabe type bordism invariants
by
Bernd Ammann, Nadine Große

Relations between threshold constants for Yamabe type bordism invariants (.pdf)

Old formats (.dvi, .ps, or .ps.gz)
J. Geom. Anal. 26, 2842-2882 (2016)
DOI: 10.1007/s12220-015-9651-1, short link https://rdcu.be/6yRn.

Abstract

In the work of Ammann, Dahl and Humbert it has turned out that the Yamabe invariant on closed manifolds is a bordism invariant below a certain threshold constant. A similar result holds for a spinorial analogon. These threshold constants are characterized through Yamabe-type equations on products of spheres with rescaled hyperbolic spaces. We give variational characterizations of these threshold constants, and our investigations lead to an explicit positive lower bound for the spinorial threshold constants.

Additional file

Proof of a well-known theorem about finitely presented groups: this theorem is used in the article and in many other articles about surgery and positive scalar curvature by other authors implicitly

Back to my Homepage

The Paper was written on 1.3.2015
Last update 9.9.2015
Last update webpage 2.9.2022 (kernelhom.pdf added)

Relations between threshold constants for Yamabe type bordism invariants by Bernd Ammann, Nadine Große

Abstract

Additional file

Relations between threshold constants for Yamabe type bordism invariants
by
Bernd Ammann, Nadine Große