ar X iv : m at h / 05 02 09 4 v 2 [ m at h . D G ] 1 5 M ar 2 00 5 THE SECOND YAMABE INVARIANT
نویسندگان
چکیده
Let (M, g) be a compact Riemannian manifold of dimension n ≥ 3. 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.
منابع مشابه
ar X iv : m at h / 05 02 09 4 v 1 [ m at h . D G ] 4 F eb 2 00 5 THE SECOND YAMABE INVARIANT
Let (M, g) be a compact Riemannian manifold of dimension n ≥ 3. 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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تاریخ انتشار 2008