Article
| Title: | The Clairaut's theorem on rotational surfaces in pseudo-Euclidean 4-space with index 2 (English) |
| Author: | Almaz, Fatma |
| Author: | Külahci, Mihriban A. |
| Language: | English |
| Journal: | Commentationes Mathematicae Universitatis Carolinae |
| ISSN: | 0010-2628 (print) |
| ISSN: | 1213-7243 (online) |
| Volume: | 65 |
| Issue: | 1 |
| Year: | 2024 |
| Pages: | 63-77 |
| Summary lang: | English |
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| Category: | math |
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| Summary: | Clairaut’s theorem is expressed on the surfaces of rotation in semi Euclidean 4-space. Moreover, the general equations of time-like geodesic curves are characterized according to the results of Clairaut's theorem on the hyperbolic surfaces of rotation and the elliptic surface of rotation, respectively. (English) |
| Keyword: | Clairaut's theorem |
| Keyword: | surfaces of rotation |
| Keyword: | pseudo-Euclidean 4-space |
| Keyword: | geodesic curve |
| MSC: | 53A35 |
| MSC: | 53B30 |
| MSC: | 53B50 |
| DOI: | 10.14712/1213-7243.2025.001 |
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| Date available: | 2025-04-24T07:50:19Z |
| Last updated: | 2025-04-25 |
| Stable URL: | http://hdl.handle.net/10338.dmlcz/152945 |
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