Realisation of special Kaehler manifolds as parabolic spheres

Simple item page
dc.creatorBaues, Oliver
dc.creatorCortés, Vicente
dc.date1999-11-11
dc.date.accessioned2026-07-07T05:31:33Z
dc.date.available2026-07-07T05:31:33Z
dc.descriptionWe prove that any simply connected special Kaehler manifold admits a canonical immersion as a parabolic affine hypersphere. As an application, we associate a parabolic affine hypersphere to any nondegenerate holomorphic function. Also we show that a classical result of Calabi and Pogorelov on parabolic spheres implies Lu's theorem on complete special Kaehler manifolds with a positive definite metric.
dc.description5 pages
dc.identifierhttps://arxiv.org/abs/math/9911079
dc.identifierhttp://arxiv.org/abs/math/9911079
dc.identifierProc. Am. Math. Soc. 129:8 (2001), pp. 2403-2407
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79387
dc.subjectDifferential Geometry
dc.subject53C26; 53A15
dc.titleRealisation of special Kaehler manifolds as parabolic spheres
dc.typetext

Files

Collections

arXiv