Surgery and equivariant Yamabe invariant

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dc.creatorSung, Chanyoung
dc.date2006-04-18
dc.date2006-05-12
dc.date.accessioned2026-07-07T07:11:01Z
dc.date.available2026-07-07T07:11:01Z
dc.descriptionWe 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.
dc.identifierhttps://arxiv.org/abs/math/0604387
dc.identifierhttp://arxiv.org/abs/math/0604387
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/111604
dc.subjectDifferential Geometry
dc.subject53C20,58E40,57R65
dc.titleSurgery and equivariant Yamabe invariant
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