Rotational hypersufaces in $E^4_1$ with generalized $L_k$ 1-type Gauss map
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866911818730962944 |
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| author | Kazan, Ahmet Altin, Mustafa Turgay, Nurettin Cenk |
| author_facet | Kazan, Ahmet Altin, Mustafa Turgay, Nurettin Cenk |
| contents | In this paper, we study the Gauss map of rotational hypersurfaces in 4-dimensional Lorentz-Minkowski space concerning the linear second order differential operators $L_1$ and $L_2$, where $L_1$ is usually called as the Cheng-Yau operator. We obtain some classifications of rotational hypersurfaces which have $L_k$-harmonic Gauss map, $L_k$-pointwise 1-type Gauss map and generalized $L_k$ 1-type Gauss map, where $k = 1,2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_19671 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Rotational hypersufaces in $E^4_1$ with generalized $L_k$ 1-type Gauss map Kazan, Ahmet Altin, Mustafa Turgay, Nurettin Cenk General Mathematics In this paper, we study the Gauss map of rotational hypersurfaces in 4-dimensional Lorentz-Minkowski space concerning the linear second order differential operators $L_1$ and $L_2$, where $L_1$ is usually called as the Cheng-Yau operator. We obtain some classifications of rotational hypersurfaces which have $L_k$-harmonic Gauss map, $L_k$-pointwise 1-type Gauss map and generalized $L_k$ 1-type Gauss map, where $k = 1,2$. |
| title | Rotational hypersufaces in $E^4_1$ with generalized $L_k$ 1-type Gauss map |
| topic | General Mathematics |
| url | https://arxiv.org/abs/2403.19671 |