VRANCEANU SURFACE IN E-4 WITH POINTWISE 1-TYPE GAUSS MAP

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Arslan K., Bayram B. K. , Bulca B., Kim Y. H. , Murathan C., Ozturk G.

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, vol.42, no.1, pp.41-51, 2011 (Journal Indexed in SCI)

• Publication Type: Article / Article
• Volume: 42 Issue: 1
• Publication Date: 2011
• Doi Number: 10.1007/s13226-011-0003-y
• Journal Name: INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.41-51
• Kocaeli University Affiliated: Yes

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.