Running after a new Kaehler-Einstein metric

dc.creatorPodesta', Fabio
dc.creatorSpiro, Andrea
dc.date2001-01-21
dc.date2001-03-01
dc.date.accessioned2026-07-07T04:39:45Z
dc.date.available2026-07-07T04:39:45Z
dc.descriptionWe deal with compact Kaehler manifolds M which are acted on by a semisimple compact Lie group G of isometries with codimension one regular orbits. We provide an explicit description of the standard blow-ups of such manifolds along complex singular orbits, in case b_1(M) = 0 and the regular orbits are Levi nondegenerate. Up to very few exceptions, all the nonhomogeneous manifolds in this class are shown to admit a G-invariant Kaehler-Einstein metric, giving completely new examples of compact Kaehler-Einstein manifolds.
dc.description43 pages; in this new version, a mistake has been corrected and hence the original classification of the Main Theorem has been slightly modified
dc.identifierhttps://arxiv.org/abs/math/0101173
dc.identifierhttp://arxiv.org/abs/math/0101173
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60791
dc.subjectDifferential Geometry
dc.subject53C55, 53C25, 57S15
dc.titleRunning after a new Kaehler-Einstein metric
dc.typetext

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