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math.DG2004★ 3 cited
Singular Semi-Flat Calabi-Yau Metrics on S^2
John C. Loftin
On an affine flat manifold with coordinates x^j and convex local potential function f, we call the affine Kahler metric f_{ij} dx^i dx^j semi-flat Calabi-Yau if it satisfies det f_…
math.DG2003★ 6 cited
The Compactification of the Moduli Space of Convex RP(2) Surfaces, I
John C. Loftin
There is a canonical identification, due to the author, of a convex real projective structure on an orientable surface of genus g and a pair consisting of a conformal structure tog…
math.DG2001
Riemannian Metrics on Locally Projectively Flat Manifolds
J. C. Loftin
The expression (-1/u) times the Hessian of u transforms as a symmetric (0,2) tensor under projective coordinate transformations, so long as u transforms as a section of a certain l…