Canonical frame of a curve on a conformal planeстатья
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Дата последнего поиска статьи во внешних источниках: 26 декабря 2018 г.
Аннотация:—We show how differential geometry of smooth curves on the conformal plane can be
studied by Elie Cartan’s method of exterior forms and moving frames. We ´ find the canonical form of
the derivation equations of a curve (which is not a circle) in the case of a semi-isotropic frame. We
give a new proof of the theorem that states that curves of constant (in particular, zero) conformal
curvature are loxodromes. We integrate the system of structure equations of the isotropy subgroup
of a point.