Relative Yamabe invariant and c-concordant metrics
نویسنده
چکیده
We show a surgery formula for the relative Yamabe invariant and give applications to the study of concordance classes of metrics.
منابع مشابه
Ju l 2 00 3 Scalar Curvature , Covering Spaces , and Seiberg - Witten Theory
The Yamabe invariant Y(M) of a smooth compact manifold is roughly the supremum of the scalar curvatures of unit-volume constant-scalar-curvature Riemannian metrics g on M . (To be precise, one only considers those constant-scalar-curvature metrics which are Yamabe minimizers, but this technicality does not, e.g. affect the sign of the answer.) In this article, it is shown that many 4-manifolds ...
متن کاملar 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
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.
متن کاملar 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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The Yamabe invariant Y(M) of a smooth compact manifold is roughly the supremum of the scalar curvatures of unit-volume constant-scalarcurvature Riemannian metrics g on M . (To be precise, one only considers those constant-scalar-curvature metrics which are Yamabe minimizers, but this technicality does not, e.g., affect the sign of the answer.) In this article, it is shown that many 4-manifolds ...
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