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math.DG2006
Flat Metrics, Cubic Differentials and Limits of Projective Holonomies
John C. Loftin
Labourie and the author independently showed that a convex real projective structure on an oriented surface of genus at least 2 is equivalent to a conformal structure plus a holomo…
math.DG2006
Ancient Solutions of the Affine Normal Flow
John Loftin, Mao-Pei Tsui
We construct noncompact solutions to the affine normal flow of hypersurfaces, and show that all ancient solutions must be either ellipsoids (shrinking solitons) or paraboloids (tra…