Evolutoids and pedaloids of Minkowski plane curves

DOI10.1007/s40840-021-01091-1zbMath1472.53015OpenAlexW3130507971MaRDI QIDQ2048986

Gülşah Aydın Şekerci, Shyuichi Izumiya

Publication date: 24 August 2021

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-021-01091-1

zbMATH Keywords

frontalsevolutoidsMinkowski plane curvepedaloids

Mathematics Subject Classification ID

Surfaces in Euclidean and related spaces (53A05) Curves in Euclidean and related spaces (53A04) Non-Euclidean differential geometry (53A35)

Related Items (4)

Evolving evolutoids and pedaloids from viewpoints of envelope and singularity theory in Minkowski plane ⋮ Pedal and contrapedal curves of framed immersions in the Euclidean 3-space ⋮ Evolutoids of the mixed-type curves ⋮ Enveloids of Legendre curves in the unit tangent bundle over the Euclidean plane

Cites Work

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• Existence and uniqueness for Legendre curves
• Curves in the Minkowski plane and their contact with pseudo-circles
• Evolutes and involutes of frontals in the Euclidean plane
• Trigonometry in Lorentzian Geometry
• Pedal curves of frontals in the Euclidean plane
• Evolutes of fronts in the Minkowski plane
• Evolutoids and pedaloids of plane curves
• Evolving Evolutoids

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