The second Yamabe invariant
by
Bernd Ammann, Emmanuel Humbert
The second Yamabe invariant
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J. Funct. Anal. 235 no. 2,
377-412 (2006)
Let (M,g) be a compact Riemannian manifold of dimension n>2. We define the second Yamabe invariant as the infimum of the second eigenvalue of the Yamabe operator over the metrics conformal to g and of volume 1. We study when it is attained. As an application, we find nodal solutions of the Yamabe equation.
Typos
(Page numbers with respect to the version published in J. Funct. Anal.)
- Page 379, line 18: "These theorems solve" instead of ".. solves"
- Page 380, line 3: "the" is missing before "Yamabe invariant"
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The Paper was written on 4.2.2005
Last update 17.10.2023