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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive
Izv. Vyssh. Uchebn. Zaved. Mat., 2016 Number 4, Pages 23–31 (Mi ivm9101)
Ñanonical frames of a curve in multidimensional affine space

M. I. Kabanovaa, A. M. Shelekhovb

a Moscow Pedagogical State University, 1 Malaya Pirogovskaya str., Bld. 1, Moscow, 119991 Russia
b Tver State University, 33 Zhelyabov str., Tver, 170000 Russia

Abstract: Using the classical Elie Cartan method we construct a canonical frame of a smooth curve in multidimensional affine space with canonical or non-canonical parameter.

Keywords: multidimensional affine space, smooth curve, canonical frame, Elie Cartan method.

UDC: 514.754

Received: 01.10.2014


 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2016, 60:4, 17–24

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© Steklov Math. Inst. of RAS, 2026