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Non-null ruled surfaces and pseudo hyper-dual tangent sphere bundles
Abstract
In this paper, the tangent bundles of hyper-dual pseudo spheres are defined. Then, a new family of non-null ruled surfaces associated with hyper-dual Lorentzian curves is defined via the E.Study hyper-map in Minkowski space and the definitions of the tangent bundles of hyper-dual pseudo spheres. Within this framework, the resulting non-null ruled surfaces are classified. Necessary and sufficient conditions for developability are obtained with their geometric interpretations in terms of hyper-dual Lorentzian curves and arc-length parameters. Moreover, explicit examples are presented to verify the theoretical results.
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BibTeX
@misc{karaca2026nonnull,
title = {{Non-null ruled surfaces and pseudo hyper-dual tangent sphere bundles}},
author = {Emel Karaca and Senem Öztürk},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.27809},
eprint = {2610.27809},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.27809},
}
RIS
TY - UNPB
TI - Non-null ruled surfaces and pseudo hyper-dual tangent sphere bundles
AU - Emel Karaca
AU - Senem Öztürk
PY - 2026
DA - 2026/10/20
PB - arXiv
DO - 10.48550/arxiv.2610.27809
UR - https://arxiv.org/abs/2610.27809
AB - In this paper, the tangent bundles of hyper-dual pseudo spheres are defined. Then, a new family of non-null ruled surfaces associated with hyper-dual Lorentzian curves is defined via the E.Study hyper-map in Minkowski space and the definitions of the tangent bundles of hyper-dual pseudo spheres. Within this framework, the resulting non-null ruled surfaces are classified. Necessary and sufficient conditions for developability are obtained with their geometric interpretations in terms of hyper-dual Lorentzian curves and arc-length parameters. Moreover, explicit examples are presented to verify the theoretical results.
ER -