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math.DG2013
A characterization of hyperbolic affine flat, affine minimal surfaces in
Jeanne N. Clelland, Jonah M. Miller
We investigate the geometric properties of hyperbolic affine flat, affine minimal surfaces in the equiaffine space . We use Cartan's method of moving frames to comput…
math.DG2012
A Tale of Two Arc Lengths: Metric notions for curves in surfaces in equiaffine space
Jeanne Clelland, Edward Estrada, Molly May +3
In Euclidean geometry, all metric notions (arc length for curves, the first fundamental form for surfaces, etc.) are derived from the Euclidean inner product on tangent vectors, an…