Abstract
In this paper we describe the structure of the algebra of scalar differential invariants of curves in a plane with Euclidean or Minkowski metric with respect to ℝ-conformal transformations.
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References
D. V. Alekseevskii, A. M. Vinogradov, and V. V. Lychagin, “Basic Ideas and Concepts of Differential Geometry,” in Itogi Nauki i Tekhniki. Ser. Sovremen. Probl. Mat. Fundam. Napravleniya (VINITI, Moscow, 1988), 28, pp. 5–289.
A. Kushner, V. Lychagin, and V. Rubtsov, Contact Geometry and Nonlinear Differential Equations (Cambridge University Press, 2007).
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Original Russian Text © I.S. Strel’tsova, 2009, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, No. 5, pp. 78–81.
(Submitted by V.V. Shurygin)
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Strel’tsova, I.S. ℝ-Conformal invariants of curves. Russ Math. 53, 67–69 (2009). https://doi.org/10.3103/S1066369X09050107
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DOI: https://doi.org/10.3103/S1066369X09050107