2018•arXiv (Cornell University)Open access
General affine differential geometry of surfaces in affine space $A^3$, I: the elliptical case
Xuan Zhao, Hongzhu Gao
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Abstract
In this paper we study the general affine differential geometry of surfaces in affine space $A^3$. For a regular elliptical surface we define a moving frame of minimal order and get the complete system of differential invariants. As an application we classify regular elliptical surfaces of constant curvatures up to affine congruence.
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