Abstract:
The article is the second part of a review
series entitled “Unique determination of conformal type
for domains”, initiated by the author's eponymous paper, published
in Sib. Èlektron. Mat. Izv., 16, 692–708
(2019). The main result of the present article is that any convex
bounded polyhedral domain in the three-dimensional Euclidean space
is uniquely determined by the relative conformal moduli of its
boundary condensers.
Keywords:$p$-modulus of a family of paths, boundary condenser, quasiconformal mapping, conformal mapping, isometric mapping, unique determination.
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