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| Main Author: | |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2601.12679 |
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| _version_ | 1866917381619580928 |
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| author | Yao, Kaixin |
| author_facet | Yao, Kaixin |
| contents | In this paper, we define non-parabolic spatial hybrid framed curves in the spatial hybrid number space, which may have singularities, and prove the existence and uniqueness theorem for non-parabolic spatial hybrid framed curves. As applications, we define evolutes, involutes, pedal and contrapedal curves of non-parabolic spatial hybrid framed curves and discuss their relations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_12679 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Non-parabolic Spatial Hybrid Framed Curves and Their Applications in the Spatial Hybrid Number Space Yao, Kaixin Differential Geometry 53A35, 57R45, 15A63 In this paper, we define non-parabolic spatial hybrid framed curves in the spatial hybrid number space, which may have singularities, and prove the existence and uniqueness theorem for non-parabolic spatial hybrid framed curves. As applications, we define evolutes, involutes, pedal and contrapedal curves of non-parabolic spatial hybrid framed curves and discuss their relations. |
| title | Non-parabolic Spatial Hybrid Framed Curves and Their Applications in the Spatial Hybrid Number Space |
| topic | Differential Geometry 53A35, 57R45, 15A63 |
| url | https://arxiv.org/abs/2601.12679 |