Equivariant deformations of LeBrun's self-dual metrics with torus action

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dc.creatorHonda, Nobuhiro
dc.date2005-04-04
dc.date.accessioned2026-07-07T05:18:45Z
dc.date.available2026-07-07T05:18:45Z
dc.descriptionWe investigate U(1)-equivariant deformations of C. LeBrun's self-dual metric with torus action. We explicitly determine all U(1)-subgroups of the torus for which one can obtain U(1)-equivariant deformation that do not preserve semi-free U(1)-action. This gives many new self-dual metrics with U(1)-action which are not conformally isometric to LeBrun metric. We also count the dimension of the moduli space of self-dual metrics with U(1)-action obtained in this way.
dc.description10pages
dc.identifierhttps://arxiv.org/abs/math/0504047
dc.identifierhttp://arxiv.org/abs/math/0504047
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/74777
dc.subjectDifferential Geometry
dc.subject53C25
dc.titleEquivariant deformations of LeBrun's self-dual metrics with torus action
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