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JOURNALS // University proceedings. Volga region. Physical and mathematical sciences // Archive

University proceedings. Volga region. Physical and mathematical sciences, 2010 Issue 3, Pages 3–14 (Mi ivpnz635)

Mathematics

The existence of nontrivial ARG deformations of surfaces with an edge under generalized bushing connections in Riemannian space

V. T. Fomenko, E. A. Kolomytseva

Taganrog State Pedagogical Institute, Taganrog

Abstract: The authors proved the existence of the denumerable set of the coefficients of the recurrent of ARG-deformations of the surfaces of the positive exterior curvature with boundary in a Riemannian space provided that the surface is subjected to the generalized hub relation along boundary for which the nontrivial ARG-deformations of the surface exist.

Keywords: Riemannian space, surface, exterior curvature, generalized hub relation, ARG-deformation.

UDC: 514.75



© Steklov Math. Inst. of RAS, 2024