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Title of Journal: Result Math

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Abbravation: Results in Mathematics

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SP Birkhäuser Verlag Basel

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10.1007/bf02039577

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1420-9012

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Pedal Curves Part I Homogeneous Differential Equa

Authors: Angela SchwenkSchellschmidt
Publish Date: 2008/09/03
Volume: 52, Issue: 3-4, Pages: 369-382
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Abstract

We study the class of plane curves with positive curvature κ and spherical parametrization s t that the curves and their derived curves like evolute caustic pedal and copedal curve resp have the same shape We characterize these properties by a homogeneous linear differential equation of first order for the support function ρ and the radii of curvature κ 1 and we give a complete local classification of this class

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  1. Attracting and Invariant Sets of Nonlinear Stochastic Neutral Differential Equations with Delays
  2. L p -L q Estimates For Solutions To The Damped Plate Equation In Exterior Domains
  3. Defect and Area in Beltrami–Klein Model of Hyperbolic Geometry
  4. Limits of integrals involving almost periodic functions
  5. Asymptotische LÖsungen Der Translationsgleichung
  6. Representation Formulas of Curves in a Two- and Three-Dimensional Lightlike Cone
  7. Decompositions of para-complex vector bundles and para-complex affine immersions
  8. Smooth Stable Planes
  9. Blaschke Dupin hypersurfaces and equiaffine tubes
  10. Matrix Representations of Sturm–Liouville Problems with Finite Spectrum
  11. On the Variation-Diminishing Property
  12. Real Hypersurfaces in Complex Two-plane Grassmannians with $${\mathfrak{D}^{\bot}}$$-Parallel Shape Operator
  13. Point-Reflection Geometries, Geometric K-Loops and Unitary Geometries
  14. Stability of Two Types of Cubic Fuzzy Set-Valued Functional Equations
  15. Regelflächen von Strahlensystemen Mit Demselben SphÄrischen Bild
  16. On the de la Vallée-Poussin Means on the Sphere
  17. Type $${\mathcal{}}$$ Sets and the ttractors of Infinite Iterated Function Systems
  18. Orthocentric Simplices and Biregularity
  19. Conditions for Starlikeness of Multivalent Functions
  20. Rigidity of Complete Minimal Hypersurfaces in the Euclidean Space
  21. On the Rate of Almost Everywhere Convergence of Abel-Cartwright means on L p ( R n )
  22. A Class of Nonlocal Impulsive Problems for Integrodifferential Equations in Banach Spaces
  23. Minimal Submanifolds in S p+3 with Constant Scalar Curvature
  24. Closed form of the Fourier–Borel Kernel in the Framework of Clifford Analysis
  25. Approximation by Linear Combinations of Complex Phillips Operators in Compact Disks
  26. Liouville Theorems for F -Harmonic Maps and Their Applications
  27. A Theorem on Homogeneous Differential Polynomials
  28. Recent Developments In Harmonic Approximation, With Applications
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