Criteria for farthest points on convex s
β
Jin-ichi Itoh; Costin VΗlcu
π
Article
π
2009
π
John Wiley and Sons
π
English
β 211 KB
## Abstract We provide a sharp, sufficient condition to decide if a point __y__ on a convex surface __S__ is a farthest point (i.e., is at maximal intrinsic distance from some point) on __S__, involving a lower bound __Ο__ on the total curvature __Ο~y~__ at __y__, __Ο~y~__ β₯ __Ο__. Further conseque