Non-null ruled surfaces and pseudo hyper-dual tangent sphere bundles

Emel Karaca; Senem Öztürk

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arXiv · 2610.27809

Non-null ruled surfaces and pseudo hyper-dual tangent sphere bundles

Emel Karaca·Senem Öztürk

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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 RIS

Emel Karaca, Senem Öztürk. 2026-10-20. Non-null ruled surfaces and pseudo hyper-dual tangent sphere bundles. https://arxiv.org/abs/2610.27809

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