Limit Polygons of Convex Domains in the Projective Plane

Author:

Nie Xin1

Affiliation:

1. Yau Mathematical Sciences Center, Tsinghua University, Beijing, China

Abstract

Abstract For any sequence of properly convex domains in the real projective plane such that the zeros of Pick differentials have bounded multiplicity and get further and further apart, we determine all Hausdorff limit domains that one can obtain after normalizing each member of the sequence by a projective transformation. We then show that the result can be applied to convex domains generated by projective triangular reflection groups.

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

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4. Complete affine hypersurfaces. I. The completeness of affine metrics;Cheng;Comm. Pure Appl. Math.,1986

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