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Title: | Vranceanu surface in E4 with pointwise 1-type Gauss map |
Authors: | Bayram, Bengü Kılıç Kim, Young-ho Öztürk, Günay Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Anabilim Dalı. 0000-0001-5861-0184 0000-0002-1440-7050 Arslan, Kadri Bulca, Betül Murathan, Cengizhan ABH-3658-2020 AAG-8775-2021 AAG-7693-2021 6603079141 35226209600 6506718146 |
Keywords: | Mathematics Rotation surface Gauss map Finite type Pointwise 1-type Ruled surface Rotation surface |
Issue Date: | Feb-2011 |
Publisher: | Indian Nat Sci Acad |
Citation: | Arslan, K. vd. (2011). "Vranceanu surface in E4 with pointwise 1-type Gauss map". Indian Journal of Pure and Applied Mathematics, 42(1), 41-51. |
Abstract: | In this article we investigate Vranceanu rotation surfaces with pointwise 1-type Gauss map in Euclidean 4-space E-4. We show that a Vranceanu rotation surface M has harmonic Gauss map if and only if M is a part of a plane. Further, we give necessary and sufficent conditions for Vranceanu rotation surface to have pointwise 1-type Gauss map. |
URI: | https://doi.org/10.1007/s13226-011-0003-y https://www.infona.pl/resource/bwmeta1.element.springer-1417d89c-6d64-3969-a661-a3538fa0a8b0 http://hdl.handle.net/11452/23836 |
ISSN: | 0019-5588 |
Appears in Collections: | Scopus Web of Science |
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