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math.DG2004
Is the deformation space of complete affine structures on the 2-torus smooth?
Oliver Baues, William M. Goldman
Periods of parallel exterior forms define natural coordinates on the deformation space of complete affine structures on the two-torus. These coordinates define a differentiable str…
math.DG2002★ 10 cited
Proper Affine Hyperspheres which fiber over Projective Special Kaehler Manifolds
Oliver Baues, Vicente Cortés
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 constructi…
math.DG1999
Realisation of special Kaehler manifolds as parabolic spheres
Oliver Baues, Vicente Cortés
We 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 hyper…