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Vranceanu surface in E4 with pointwise 1-type Gauss map

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Arslan, Kadri
Bulca, Betül
Murathan, Cengizhan

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Bayram, Bengü Kılıç
Kim, Young-ho
Öztürk, Günay

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Indian Nat Sci Acad

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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.

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Mathematics, Rotation surface, Gauss map, Finite type, Pointwise 1-type, Ruled surface, Rotation surface

Alıntı

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.

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