PreprintCC BY 4.0arXiv
Lempert left inverses of the Royal and Flat geodesics of the symmetrized bidisc
Abstract
In this note, we give complete description of the Lempert left inverses of the royal and flat geodesics of the symmetrized bidisc. It is further proved that the collection of all such Lempert left inverses to the royal and flat geodesics is path connected. This, in particular, answers a question asked by Zwonek \cite[~Remark 4.4, 4.5]{zwonek}.
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BibTeX
@misc{gupta2026lempert,
title = {{Lempert left inverses of the Royal and Flat geodesics of the symmetrized bidisc}},
author = {Naveen Gupta},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.34355},
eprint = {2610.34355},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.34355},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Lempert left inverses of the Royal and Flat geodesics of the symmetrized bidisc
AU - Naveen Gupta
PY - 2026
DA - 2026/10/25
PB - arXiv
DO - 10.48550/arxiv.2610.34355
UR - https://arxiv.org/abs/2610.34355
AB - In this note, we give complete description of the Lempert left inverses of the royal and flat geodesics of the symmetrized bidisc. It is further proved that the collection of all such Lempert left inverses to the royal and flat geodesics is path connected. This, in particular, answers a question asked by Zwonek \cite[~Remark 4.4, 4.5]{zwonek}.
ER -