EXISTENCE OF NONTRIVIAL ARG-DEFORMATIONS OF SURFACES WITH THE EDGE WITH GENERALIZED BOOTLACE BOND IN RIEMANNIAN SPACE

Fomenko Valentin Trofimovich, Doctor of physical and mathematical sciences, professor, head of sub-department of algebra and geometry, Taganrog State Pedagogical University, Honoured Scientist of the Russian Federation, vtfomenko@rambler.ru
Kolomitseva Elena Alekseevna, Postgraduate student, Taganrog State Pedagogical University, kolomytseva86@mail.ru

514.75

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.

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