Pasting gauges II: Balls in pasted halfplanes

摘要

We consider the planar metric obtained when pasting two halfplanes with different gauges along their separating line. The shape of the corresponding balls of given centre and radius is characterised. The particular cases obtained when considering inflated euclidean, rectangular and/or polyhedral distances are studied in detail. (C) 2018 Elsevier B.V. All rights reserved.