Sporadic Reinhardt Polygons

Sporadic Reinhardt Polygons

Let n be a positive integer, not a power of two. A Reinhardt polygon is a convex n-gon that is optimal in three different geometric optimization problems: it has maximal perimeter relative to its diameter, maximal width relative to its diameter, and maximal width relative to its perimeter. For almost all n, there are many Reinhardt polygons with n sides, and many of them exhibit a particular pe...

Symmetric continuous Reinhardt domains

whenever |ζ1|, . . . , |ζn| ≤ 1 . In 1974 [11] Sunada investigated the structure of bounded Reinhardt domains containing the origin from the viewpoint of biholomorphic equivalence. He was able to describe completely the symmetric Reihardt domains which, up to linear isomomorphism, turned to be direct products of Euclidean balls. Our aim in this paper is to study infinite dimensional analogs of ...

Bounde Reinhardt domains in Banach spaces

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Jonathan G . Reinhardt The Matter of Britain

Finite Type Conditions on Reinhardt Domains

In this paper we prove that, if p is a boundary point of a smoothly bounded pseudoconvex Reinhardt domain in Cn, then the variety type at p is identical to the regular type. In this paper we study the finite type conditions on pseudoconvex Reinhardt domain. We prove that, if p is a boundary point of a smoothly bounded pseudoconvex Reinhardt domain in C, then the variety type at p is identical t...