Surgery and equivariant Yamabe invariant |
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Authors: | Chanyoung Sung |
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Institution: | Korea Institute for Advanced Study, 207-43 Cheongryangri 2-dong Dongdaemun-gu, Seoul 130-722, South Korea |
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Abstract: | We consider the equivariant Yamabe problem, i.e., the Yamabe problem on the space of G-invariant metrics for a compact Lie group G. The G-Yamabe invariant is analogously defined as the supremum of the constant scalar curvatures of unit volume G-invariant metrics minimizing the total scalar curvature functional in their G-invariant conformal subclasses. We prove a formula about how the G-Yamabe invariant changes under the surgery of codimension 3 or more, and compute some G-Yamabe invariants. |
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Keywords: | 53C20 58E40 57R65 |
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