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

Arslan, KADRİ; Bayram, B.; Bulca, BETÜL; Kim, Y.; Murathan, CENGİZHAN; Ozturk, G.

doi:10.1007/s13226-011-0003-y

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

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

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, cilt.42, sa.1, ss.41-51, 2011 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 42 Sayı: 1
Basım Tarihi: 2011
Doi Numarası: 10.1007/s13226-011-0003-y
Dergi Adı: INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.41-51
Anahtar Kelimeler: Rotation surface, Gauss map, finite type, pointwise 1-type, RULED SURFACES, ROTATION SURFACES
Bursa Uludağ Üniversitesi Adresli: Evet

Özet

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.