Monotonicity of the Yamabe invariant under connect sum over the boundary (Q1024789)
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scientific article; zbMATH DE number 5566009
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Monotonicity of the Yamabe invariant under connect sum over the boundary |
scientific article; zbMATH DE number 5566009 |
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Monotonicity of the Yamabe invariant under connect sum over the boundary (English)
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17 June 2009
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It is proved that the Yamabe invariant of manifolds with boundary satisfies a monotonicity property with respect to connected sums along the boundary, similar to the one in the closed case. As a consequence it is deduced that handlebodies have maximal invariant.
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manifold with boundary
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positive scalar curvature
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Yamabe invariant
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handlebodies
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0.8838602
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0.8756269
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0.87431747
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0.8687295
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0.8648629
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0.86213887
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0.86035067
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