Vranceanu surface in $$ \mathbb{E}^4 $$ with pointwise 1- type Gauss map

K. Arslan (), B. K. Bayram (), B. Bulca (), Y. H. Kim (), C. Murathan () and G. Öztürk ()
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K. Arslan: Uludağ University
B. K. Bayram: Balıkesir University
B. Bulca: Uludağ University
Y. H. Kim: Kyungpook National University
C. Murathan: Uludağ University
G. Öztürk: Kocaeli University

Indian Journal of Pure and Applied Mathematics, 2011, vol. 42, issue 1, 41-51

Abstract: Abstract In this article we investigate Vranceanu rotation surfaces with pointwise 1- type Gauss map in Euclidean 4-space $$ \mathbb{E}^4 $$ . 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.

Keywords: Rotation surface; Gauss map; finite type; pointwise 1-type (search for similar items in EconPapers)
Date: 2011
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s13226-011-0003-y

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