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General affine differential geometry of surfaces in affine space $A^3$, I: the elliptical case (1804.06250v2)

Published 15 Apr 2018 in math.DG

Abstract: In this paper we study the general affine differential geometry of surfaces in affine space $A3$. 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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Authors (2)

  1. Xu-an Zhao
  2. Hongzhu Gao
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