6533b860fe1ef96bd12c2f8c
RESEARCH PRODUCT
Generalized evolutes, vertices and conformal invariants of curves in Rn + 1
Esther Sanabria-codesalM.c Romero-fustersubject
Mathematics(all)Pure mathematicsExtremal lengthConformal symmetryGeneral MathematicsMathematical analysisEvoluteTorsion (algebra)Conformal mapDuality relationMathematicsdescription
Abstract We define the generalized evolute of a curve in ( n + 1)-space and find a duality relation between them. We also prove that the conformal torsion is a function of the speed of the generalized evolute and that the singular points of the generalized evolute (vertices) are conformal invariants.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 1999-01-01 | Indagationes Mathematicae |