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Relations Between Threshold Constants for Yamabe Type Bordism Invariants

Ammann, Bernd ; Große, Nadine


In the work of Ammann et al. 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, ...


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