Proper Affine Hyperspheres which fiber over Projective Special Kaehler Manifolds

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dc.creatorBaues, Oliver
dc.creatorCortés, Vicente
dc.date2002-05-29
dc.date.accessioned2026-07-07T04:48:47Z
dc.date.available2026-07-07T04:48:47Z
dc.descriptionWe show that the natural S^1-bundle over a projective special Kaehler manifold carries the geometry of a proper affine hypersphere endowed with a Sasakian structure. The construction generalizes the geometry of the Hopf-fibration $\Sr^{2n+1} \longrightarrow \CP^n$ in the context of projective special Kaehler manifolds. As an application we have that a natural circle bundle over the Kuranishi moduli space of a Calabi-Yau threefold is a Lorentzian proper affine hypersphere.
dc.identifierhttps://arxiv.org/abs/math/0205308
dc.identifierhttp://arxiv.org/abs/math/0205308
dc.identifierAsian J. Math., Vol. 7, No. 1, pp. 115-132, March 2003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64181
dc.subjectDifferential Geometry
dc.subject53C26; 53A15
dc.titleProper Affine Hyperspheres which fiber over Projective Special Kaehler Manifolds
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