On some second-order rigidity conditions for analytic surfaces.

Autor: Perlova, N.
Zdroj: Mathematical Notes; Aug1973, Vol. 14 Issue 2, p692-697, 6p
Abstrakt: It is proved that an analytic surface does not admit a nontrivial analytic infinitesimal deformation of the second order satisfying one of the following conditions: a) preservation of the normal curvature of a planar closed convex curve belonging to the surface; b) each point of a closed curve belonging to the surface slides in a rectifiable curve. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index
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