AN EXAMINATION OF THE CONDITION UNDER WHICH A CONCHOIDAL SURFACE IS A BONNET SURFACE IN THE EUCLIDEAN 3-SPACE
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, cilt.36, sa.3, ss.627-641, 2021 (ESCI)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 36 Sayı: 3
- Basım Tarihi: 2021
- Doi Numarası: 10.22190/fumi210227047c
- Dergi Adı: FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
- Sayfa Sayıları: ss.627-641
- Anahtar Kelimeler: Conchoidal surface, Bonnet surface, Euclidean 3-space
- Süleyman Demirel Üniversitesi Adresli: Evet
Özet
In this study, we examine the condition of the conchoidal surface to be a Bonnet surface in Euclidean 3-space. Especially, we consider the Bonnet conchoidal surfaces which admit an infinite number of isometrics. In addition, we study the necessary conditions which have to be fulfilled by the surface of revolution with the rotating curve c(t) and its conchoid curve c(d)(t) to be the Bonnet surface in Euclidean 3-space.