PreprintCC BY 4.0arXiv
On ruled normal surfaces associated with rectifying curves
Abstract
In this paper we study the geometrical entities as Gauss and mean curvatures attached to the ruled normal surfaces associated with rectifying curves. A particular and special example of rectifying curves is also investigated, via its attached ruled normal surface. Our main result is the proof of the non-existence of rectifying curves that are simultaneously Bertrand curves.
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BibTeX
@misc{boldeanu2026ruled,
title = {{On ruled normal surfaces associated with rectifying curves}},
author = {Ana-Maria Boldeanu},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.11886},
eprint = {2610.11886},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.11886},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - On ruled normal surfaces associated with rectifying curves
AU - Ana-Maria Boldeanu
PY - 2026
DA - 2026/10/08
PB - arXiv
DO - 10.48550/arxiv.2610.11886
UR - https://arxiv.org/abs/2610.11886
AB - In this paper we study the geometrical entities as Gauss and mean curvatures attached to the ruled normal surfaces associated with rectifying curves. A particular and special example of rectifying curves is also investigated, via its attached ruled normal surface. Our main result is the proof of the non-existence of rectifying curves that are simultaneously Bertrand curves.
ER -