Mathematics – Differential Geometry
Scientific paper
2008-01-31
Mathematics
Differential Geometry
Scientific paper
We construct a new representation formula for indefinite improper affine spheres in terms of two para-holomorphic functions and study singularities which appear in this representation formula. As a result, it follows that cuspidal cross caps never appear as the singularities on indefinite improper affine spheres and so on. Comparison with other representation formulae are also studied.
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