Abstract
Considering two linked Monge–Ampère equations that correspond to hyperbolic hypersurfaces with constant affine Gauss–Kronecker curvature, we obtain some asymptotic behaviors of affine hypersurfaces. In this paper we also extend Loewner–Nirenberg’s sharp second order derivative estimates for hyperbolic affine spheres to higher dimensions.
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Wu, Y. Asymptotic Behaviors of Hyperbolic Hypersurfaces with Constant Affine Gauss–Kronecker Curvature. Results. Math. 59, 173–183 (2011). https://doi.org/10.1007/s00025-010-0071-z
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DOI: https://doi.org/10.1007/s00025-010-0071-z