%ASedykh, V D
%D1991
%I; International Centre for Theoretical Physics (ICTP), Trieste (Italy)
%J
%K71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS, EUCLIDEAN SPACE, VERTEX FUNCTIONS, 661100, CLASSICAL AND QUANTUM MECHANICS
%PMedium: X; Size: 7 p.
%TThe 4-vertex theorem for convex curves R{sup 3}
%XIt is a well-known fact that any smooth closed plane curve with nowhere vanishing curvature has at least four vertices (local extremum points of its curvature). A generalization of this statement for the case of space curves is known as a conjecture of P. Scherk. Here we sketch the proof of this conjecture. (author). 5 refs.
%0Technical Report
IAEA Other: ON: DE92615218; TRN: XA9130266015326 INIS English