A new generalization of the Steiner formula and the Holditch theorem

DOI10.1007/s00006-015-0559-4zbMath1343.53013OpenAlexW228522275MaRDI QIDQ284517

Mehmet Ali Güngör, Murat Tosun, Tülay Erişir

Publication date: 18 May 2016

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

Full work available at URL: https://doi.org/10.1007/s00006-015-0559-4

zbMATH Keywords

Steiner formulageneralized complex planeHolditch theorem

Mathematics Subject Classification ID

Applications of local differential geometry to the sciences (53B50) Differential geometric aspects in kinematics (53A17) Quadratic spaces; Clifford algebras (11E88)

Related Items (6)

On Holditch's theorem ⋮ The areas of the trajectory surface under the Galilean motions in the Galilean space ⋮ A new construction of Holditch theorem for homothetic motions in \(C_p\) ⋮ Elliptic biquaternion algebra ⋮ A note on elliptic biquaternions ⋮ Unnamed Item

Cites Work

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• The Steiner formula for Minkowski valuations
• Steiner formula and Holditch-type theorems for homothetic Lorentzian motions
• Holditch-Sicheln
• One-parameter planar motions in generalized complex number plane \({\mathbb{C}_{J}}\)
• Zum Satz von Holditch in der euklidischen Ebene
• Sätze vom Holditch-Typ für ebene Kurven
• The Steiner formula and the Holditch theorem for the homothetic motions on the planar kinematics
• The Generalized Holditch Theorem for the Homothetic Motions on the Planar Kinematics
• Geometry of Generalized Complex Numbers
• Holditch's Theorem
• Holditch theorem and Steiner formula for the planar hyperbolic motions

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