Literature cited
T. G. Isanov, “Extension of infinitesimal bendings,” Dokl. Akad. Nauk SSSR,234, No. 6, 1257–1260 (1977).
T. G. Isanov, “Extension of infinitesimal bendings of surfaces of class 700-01,” Sib. Mat. Zh.,20, No. 6, 1306–1307 (1979).
S. B. Klimentov, “Global formulation of the fundamental theorem of the theory of n-dimensional surfaces in m-dimensional space of constant curvature,” Ukr. Geom. Sb.,22, 64–81 (1979).
P. E. Markov, “Infinitesimal bendings of higher orders of multidimensional surfaces,” Ukr. Geom. Sb.,25, 87–94 (1982).
I. N. Vekua, Generalized Analytic Functions, Pergamon (1962).
V. T. Fomenko, “Bending a surface, preserving points of congruence,” Mat. Sb.,66, No. 1, 127–141 (1965).
S. B. Klimentov, “Structure of the set of solutions of the fundamental equations of surface theory,” Ukr. Geom. Sb.,25, 69–82 (1982).
S. Lang, Differential Manifolds, Addison-Wesley (1972).
N. Bourbaki, Differentiable and Analytic Manifolds [Russian translation], Mir, Moscow (1975).
M. Golubitsky and V. Guillemin, Stable Mappings and Their Singularities [Russian translation], Mir, Moscow (1977).
Author information
Authors and Affiliations
Additional information
Translated from Matematicheskie Zametki, Vol. 36, No. 3, pp. 393–403, September, 1984.
Rights and permissions
About this article
Cite this article
Klimentov, S.B. Extensions of infinitesimal bendings of higher orders of a simply connected surface of positive curvature. Mathematical Notes of the Academy of Sciences of the USSR 36, 695–700 (1984). https://doi.org/10.1007/BF01141943
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01141943