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Elsevier, Differential Geometry and its Applications, (36), p. 134-148

DOI: 10.1016/j.difgeo.2014.08.003

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A characterization of hyperbolic affine flat, affine minimal surfaces in $𝔸^3$

Journal article published in 2013 by Jeanne N. Clelland, Jonah M. Miller ORCID
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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Abstract

We investigate the geometric properties of hyperbolic affine flat, affine minimal surfaces in the equiaffine space $𝔸^3$. We use Cartan's method of moving frames to compute a complete set of local invariants for such surfaces. Using these invariants, we give a complete local classification of such surfaces and construct new examples. ; Comment: 15 pages