Preprint
Aug 2026
Existence of Yamabe stability optimizers
We prove the existence of stability optimizers for the Yamabe inequality on closed Riemannian manifolds of dimension at least three with positive Yamabe invariant that satisfy two threshold conditions. Remarkably, the compactness threshold we uncover is different from the special case of the round sphere treated previo...
J. Andrade, Tobias König, J. Ratzkin et al.
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