The second Yamabe invariant
Bernd Ammann, Emmanuel Humbert

The second Yamabe invariant (.dvi, .ps,.ps.gz or .pdf)
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.
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The Paper was written on 4.2.2005
Last update 4.2.2005