A new characterization of the Aminov surface with regards to its Gauss map in E^4
Yıl: 2023 Cilt: 12 Sayı: 1 Sayfa Aralığı: 25 - 32 Metin Dili: İngilizce DOI: 10.17798/bitlisfen.1170647 İndeks Tarihi: 15-06-2023
A new characterization of the Aminov surface with regards to its Gauss map in E^4
Öz: In this study, we focus on the Aminov surface with regard to its Gauss map in . Firstly, we write the covariant derivatives according to linear combinations of orthonormal vectors and separate the equalities using the Gauss and Weingarten formulas. Then, we get the Laplacian of the Gauss map. After giving some conditions, we yield the following results: Aminov surfaces can not have a harmonic Gauss map and can not have a pointwise one-type Gauss map of the first kind in . Further, we give an example of a helical cylinder which is also congruent to an Aminov surface. Lastly, we obtain the conditions of having a pointwise one-type Gauss map of the second kind.
Anahtar Kelime: Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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| APA | Büyükkütük S, OZTÜRK G (2023). A new characterization of the Aminov surface with regards to its Gauss map in E^4. , 25 - 32. 10.17798/bitlisfen.1170647 |
| Chicago | Büyükkütük Sezgin,OZTÜRK GÜNAY A new characterization of the Aminov surface with regards to its Gauss map in E^4. (2023): 25 - 32. 10.17798/bitlisfen.1170647 |
| MLA | Büyükkütük Sezgin,OZTÜRK GÜNAY A new characterization of the Aminov surface with regards to its Gauss map in E^4. , 2023, ss.25 - 32. 10.17798/bitlisfen.1170647 |
| AMA | Büyükkütük S,OZTÜRK G A new characterization of the Aminov surface with regards to its Gauss map in E^4. . 2023; 25 - 32. 10.17798/bitlisfen.1170647 |
| Vancouver | Büyükkütük S,OZTÜRK G A new characterization of the Aminov surface with regards to its Gauss map in E^4. . 2023; 25 - 32. 10.17798/bitlisfen.1170647 |
| IEEE | Büyükkütük S,OZTÜRK G "A new characterization of the Aminov surface with regards to its Gauss map in E^4." , ss.25 - 32, 2023. 10.17798/bitlisfen.1170647 |
| ISNAD | Büyükkütük, Sezgin - OZTÜRK, GÜNAY. "A new characterization of the Aminov surface with regards to its Gauss map in E^4". (2023), 25-32. https://doi.org/10.17798/bitlisfen.1170647 |
| APA | Büyükkütük S, OZTÜRK G (2023). A new characterization of the Aminov surface with regards to its Gauss map in E^4. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, 12(1), 25 - 32. 10.17798/bitlisfen.1170647 |
| Chicago | Büyükkütük Sezgin,OZTÜRK GÜNAY A new characterization of the Aminov surface with regards to its Gauss map in E^4. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 12, no.1 (2023): 25 - 32. 10.17798/bitlisfen.1170647 |
| MLA | Büyükkütük Sezgin,OZTÜRK GÜNAY A new characterization of the Aminov surface with regards to its Gauss map in E^4. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, vol.12, no.1, 2023, ss.25 - 32. 10.17798/bitlisfen.1170647 |
| AMA | Büyükkütük S,OZTÜRK G A new characterization of the Aminov surface with regards to its Gauss map in E^4. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi. 2023; 12(1): 25 - 32. 10.17798/bitlisfen.1170647 |
| Vancouver | Büyükkütük S,OZTÜRK G A new characterization of the Aminov surface with regards to its Gauss map in E^4. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi. 2023; 12(1): 25 - 32. 10.17798/bitlisfen.1170647 |
| IEEE | Büyükkütük S,OZTÜRK G "A new characterization of the Aminov surface with regards to its Gauss map in E^4." Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, 12, ss.25 - 32, 2023. 10.17798/bitlisfen.1170647 |
| ISNAD | Büyükkütük, Sezgin - OZTÜRK, GÜNAY. "A new characterization of the Aminov surface with regards to its Gauss map in E^4". Bitlis Eren Üniversitesi Fen Bilimleri Dergisi 12/1 (2023), 25-32. https://doi.org/10.17798/bitlisfen.1170647 |
