Miklos Schweitzer 1967_9
Source:
October 6, 2008
calculusderivativesymmetryadvanced fieldsadvanced fields unsolved
Problem Statement
Let be a surface of nonzero curvature that can be represented around one of its points by a power series and is symmetric around the normal planes parallel to the principal directions at . Show that the derivative with respect to the arc length of the curvature of an arbitrary normal section at vanishes at . Is it possible to replace the above symmetry condition by a weaker one?
A. Moor