TY - RPRT
TI - The 4-vertex theorem for convex curves R{sup 3}
AB - It 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.
AU - Sedykh, V D
KW - 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
KW - EUCLIDEAN SPACE
KW - VERTEX FUNCTIONS
KW - 661100
KW - CLASSICAL AND QUANTUM MECHANICS
DO -
UR -
PB -
CY - IAEA
PY - 1991
DA - 1991-09-01
LA - English
J2 -
C1 - International Centre for Theoretical Physics (ICTP), Trieste (Italy)
C2 -
ER -