Smoothness theorems for the principal curvatures and principal vectors of a hypersurface
Smoothness theorems for the principal curvatures and principal vectors of a hypersurface
The most important invariants of a C 00 hypersurface, M n , immersed in R n + 1 are its principal curvatures, the elementary symmetric functions of these principal curvatures (the socalled higher mean curvatures), and the principal vectors associated to these principal curvatures.The higher mean curvatures are clearly C …