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arXiv · 1308.0288

A characterization of hyperbolic affine flat, affine minimal surfaces in $\mathbb{A}^3$

Jeanne N. Clelland·Jonah M. Miller
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Abstract

We investigate the geometric properties of hyperbolic affine flat, affine minimal surfaces in the equiaffine space $\mathbb{A}^3$. 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.

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Jeanne N. Clelland, Jonah M. Miller. 2013-08-01. A characterization of hyperbolic affine flat, affine minimal surfaces in $\mathbb{A}^3$. https://arxiv.org/abs/1308.0288

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