Asymptotic Behaviors of Hyperbolic Hypersurfaces with Constant Affine Gauss-Kronecker Curvature

作者：Wu, Yadong^*

来源：Results in Mathematics, 2011, 59(1-2): 173-183.

DOI：10.1007/s00025-010-0071-z

• Affine Gauss-Kronecker curvature
• asymptotic behavior
• Monge-Ampere equation

Considering two linked Monge-AmpSre 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.

• 出版日期2011-2
• 单位四川大学