ON BÄCKLUND TRANSFORMATIONS WITH SPLIT QUATERNIONS

DOI10.22190/FUMI2002423SzbMath1488.53051MaRDI QIDQ5010142

Muhammed T. Sarıaydın

Publication date: 24 August 2021

Published in: Facta Universitatis, Series: Mathematics and Informatics (Search for Journal in Brave)

zbMATH Keywords

Minkowski spacequaternionsBäcklund transformationsBishop frames

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Cites Work

• On the quaternionic \(B _{2}\)-slant helices in the Euclidean space \(E ^{4}\)
• Quaternionic shape operator
• A new representation of canal surfaces with split quaternions in Minkowski 3-space
• Bäcklund transformations according to Bishop frame in E3/1
• On the Quaternionic Curves in the Semi-Euclidean Space E_4_2

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