A representation formula for indefinite improper affine spheres

Details A representation formula for indefinite improper affine spheres A representation formula for indefinite improper affine spheres

2008-01-31

arxiv.org/abs/0801.4832v1

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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