@Article{CMR-29-184,
author = {Sun , DongqiTang , Jingyan and Li , Fengling},
title = {Planar-Busting Curves on the Boundary of a Handlebody},
journal = {Communications in Mathematical Research },
year = {2021},
volume = {29},
number = {2},
pages = {184--192},
abstract = {<p style="text-align: justify;">Let $H_n$ be an orientable handlebody of genus $n$. It has been proved that
for $n$ not less than 2, there exists an annulus-busting curve in $∂H_n$. In the present
paper, we prove that for $n$ not less than 2, there exists an essential simple closed
curve $C$ in $∂H_n$ which intersects each essential planar surface in $H_n$ non-emptily.
Furthermore, we show that for $n$ not less than 3, a pants-busting curve must also be
an annulus-busting curve.</p>},
issn = {2707-8523},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/cmr/19022.html}
}