Positive Self Dual Einstein Orbifolds with One-Dimensional Isometry Group

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dc.creatorBisconti, Luca
dc.date2007-03-24
dc.date.accessioned2026-07-07T07:53:52Z
dc.date.available2026-07-07T07:53:52Z
dc.descriptionThe aim of this thesis is to construct new examples of compact orbifolds $\mathcal{O}^4(Θ)$ which admit a self dual Einstein (SDE) metric of positive scalar curvature $s>0$, with a one-dimensional group of isometries. In particular we want to prove that these examples are different from those described by Boyer, Galicki and Piccinni in \emph{$3-$Sasakian geometry, nilpotents orbits, and exeptional quotients}. We construct explicitly our new examples as quaternion-K$\ddot{\mathrm{a}}$hler reductions of the quaternion K$\ddot{\mathrm{a}}$hler Grassmannian $Gr_4(\mathbb{R}^8)$ by an isometric action of a $3-$torus $T^3_Θ\subset T^4\subset SO(8)$ $\subset Sp(8)$ on the sphere $S^{31}\subset \mathbb{H}^8$, where $Θ$ is an interger $3\times 4$ weight matrix.
dc.description117 pages
dc.identifierhttps://arxiv.org/abs/math/0703721
dc.identifierhttp://arxiv.org/abs/math/0703721
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126386
dc.subjectDifferential Geometry
dc.titlePositive Self Dual Einstein Orbifolds with One-Dimensional Isometry Group
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