EUCLIDEAN SURFACES WITH CONFORMAL SECOND FUNDAMENTAL FORM

---

BULCA SOKUR B.

JOURNAL OF SCIENCE AND ARTS, sa.1, ss.123-132, 2025 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Basım Tarihi: 2025
• Doi Numarası: 10.46939/j.sci.arts-25.1-a11
• Dergi Adı: JOURNAL OF SCIENCE AND ARTS
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
• Sayfa Sayıları: ss.123-132
• Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
• Bursa Uludağ Üniversitesi Adresli: Evet

Özet

In the present study, we consider surfaces in E2+ d with conformal second fundamental form. We give a result for Chen surfaces to have a conformal second fundamental form. We show that every Chen surface is h-conformal. Furthermore, we give necessary and sufficient conditions for general rotational surfaces in Euclidean 4-space to become h-conformal. Finally, we prove that the Vranceanu surface is h-conformal if and only if it is either flat or minimal.