Curvature of curves parameterized by a time scale

DOI10.1186/s13662-015-0384-zzbMath1346.53005OpenAlexW2097672875WikidataQ59425373 ScholiaQ59425373MaRDI QIDQ738502

Sibel Paşalı Atmaca, Ömer Akgüller

Publication date: 2 September 2016

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-015-0384-z

zbMATH Keywords

curvaturesymmetric differentiationtime scales calculus

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04) Dynamic equations on time scales or measure chains (34N05)

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Discrete normal vector field approximation via time scale calculus ⋮ The theory of n-scales

Cites Work

• Forward curvatures on time scales
• Symmetric differentiation on time scales
• Analysis on measure chains - a unified approach to continuous and discrete calculus
• Directional derivative of vector field and regular curves on time scales
• Surfaces on time scales and their metric properties
• Normal and osculating planes of \(\Delta \)-regular curves
• Discrete differential geometry
• Pseudospherical surfaces on time scales: a geometric definition and the spectral approach
• Polynomial Remainder Sequences and Determinants
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