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arXiv · 1804.06250

General affine differential geometry of surfaces in affine space $A^3$, I: the elliptical case

Xu-an 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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Xu-an Zhao, Hongzhu Gao. 2018-04-15. General affine differential geometry of surfaces in affine space $A^3$, I: the elliptical case. https://arxiv.org/abs/1804.06250

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