This is a preview of subscription content, log in via an institution to check access.
Literature Cited
S. Z. Shefel', “Surfaces in Euclidean space,” in: Mathematical Analysis and Related Questions of Mathematics [in Russian], Nauka, Novosibirsk (1978), pp. 297–318.
G. S. Shefel', “Groups of transformations of Euclidean space,” Sib. Mat. Zh.,26, No. 3, 197–215 (1985).
S. Z. Shefel', “Geometric properties of embedded manifolds,” Sib. Mat. Zh.,26, No. 1, 171–188 (1985).
V. I. Arnol'd, A. N. Varchenko, and S. M. Gussein-Zade, Singularities of Differentiable Maps [in Russian], Vol. 1, Nauka, Moscow (1982).
A. Z. Petrov, Einstein Spaces [in Russian], Fizmatgiz, Moscow (1961).
L. E. Dickson, “Equivalence of pairs of bilinear or quadratic forms in the rational transformations,” Trans. Am. Math. Soc.,10, No. 3, 347–360 (1909).
K. Tenenblat, “A rigidity theorem for three-dimensional submanifolds in Euclidean six-space,” J. Diff. Geom.,14, No. 2, 187–203 (1979).
A. A. Borisenko, “On the structure of ⌈-dimensional surfaces with degenerate second quadratic form in n-dimensional Euclidean space,” Ukr. Geom. Sb., No. 13, 18–27 (1973).
A. A. Borisenko and Yu. A. Nikolaevskii, “Classification of points of three-dimensional spaces with respect to the Grassmannian image,” Ukr. Geom. Sb., No. 32 (1989).
Additional information
Khar'kov. Translated from Sibirskii Matematicheskii Zhurnal, Vol. 31, No. 3, pp. 19–29, May–June, 1990.
Rights and permissions
About this article
Cite this article
Borisenko, A.A. Affine classification of points of multidimensional surfaces. Sib Math J 31, 379–387 (1990). https://doi.org/10.1007/BF00970344
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00970344