Proper Affine Hyperspheres which fiber over Projective Special Kaehler Manifolds
Differential Geometry
2007-05-23 v1
Abstract
We 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 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.
Keywords
Cite
@article{arxiv.math/0205308,
title = {Proper Affine Hyperspheres which fiber over Projective Special Kaehler Manifolds},
author = {Oliver Baues and Vicente Cortés},
journal= {arXiv preprint arXiv:math/0205308},
year = {2007}
}