Quaternionic shape operator

DOI10.1007/s00006-017-0804-0zbMath1379.53009OpenAlexW2749205738MaRDI QIDQ1686869

Selahattin Aslan, Yusuf Yayli

Publication date: 18 December 2017

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-017-0804-0

zbMATH Keywords

quaternionssurfacesshape operatorDarboux framehomothetic motionsrotation matrices

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05)

Related Items (2)

Motions on curves and surfaces using geometric algebra ⋮ ON BÄCKLUND TRANSFORMATIONS WITH SPLIT QUATERNIONS

Cites Work

• Canal surfaces with quaternions
• Involutions in dual split-quaternions
• A new approach to constant slope surfaces with quaternions
• Quaternionic approach of canal surfaces constructed by some new ideas
• A new representation of canal surfaces with split quaternions in Minkowski 3-space
• Dual quaternion involutions and anti-involutions
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