On the equiform geometry of special curves in hyperbolic and de Sitter planes
Copyright policy )On the equiform geometry of special curves in hyperbolic and de Sitter planes
<abstract><p>In this paper, we aim to investigate the equiform differential geometric properties of the evolute and involute frontal curves in the hyperbolic and de Sitter planes. We inspect the relevance between evolute and involute frontal curves that relate to symmetry properties. Also, under the viewpoint of symmetry, we expand these notions to the frontal curves. Moreover, we look at the classification of these curves and introduce the notion of frontalisation for its singularities. Finally, we provide two numerical examples with drawing as an application, through which we authenticate our theoretical results.</p></abstract>
- Northern Border University Saudi Arabia
- Sohag University Egypt
- Islamic University of Madinah Saudi Arabia
- Fayoum University Egypt
Symmetry (geometry), Computational Mechanics, Geometry, Mathematical analysis, Engineering, de sitter plane, QA1-939, FOS: Mathematics, Isogeometric Analysis in Computational Engineering, evolute curve, frontal curves, Foundations of Geometric Mathematics, Applied Mathematics, Physics, Shape Optimization, Pure mathematics, Optimal Transport in Geometry and Analysis, Gravitational singularity, hyperbolic plane, Physical Sciences, involute curve, Thermodynamics, Geometry and Topology, Differential (mechanical device), Mathematics, Involute
Symmetry (geometry), Computational Mechanics, Geometry, Mathematical analysis, Engineering, de sitter plane, QA1-939, FOS: Mathematics, Isogeometric Analysis in Computational Engineering, evolute curve, frontal curves, Foundations of Geometric Mathematics, Applied Mathematics, Physics, Shape Optimization, Pure mathematics, Optimal Transport in Geometry and Analysis, Gravitational singularity, hyperbolic plane, Physical Sciences, involute curve, Thermodynamics, Geometry and Topology, Differential (mechanical device), Mathematics, Involute
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