SPHERICAL PRODUCT SURFACES IN E-4

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Atıf İçin Kopyala

BULCA B., ARSLAN K., Bayram B. (., Ozturk G.

ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, cilt.20, sa.1, ss.41-54, 2012 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 20 Sayı: 1
• Basım Tarihi: 2012
• Doi Numarası: 10.2478/v10309-012-0004-9
• Dergi Adı: ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.41-54
• Anahtar Kelimeler: Second fundamental form, Curvature ellipse, spherical product, Otsuiki surface
• Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In the present study we calculate the coefficients of the second fundamental form and curvature ellipse of spherical product surfaces in E-4. Otsuki rotational surfaces and Ganchev-Milousheva rotational surfaces are the special type of spherical product surfaces in E-4. Further, we give necessary and sufficient condition for the origin of NpM to lie on the curvature ellipse of such surfaces. Finally we get the necessary condition for Ganchev-Milousheva rotational surfaces in E-4 to become flat or Chen type. We also give some examples of the projections of these surfaces in E-3.