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On farthest points of sets

✍ Scribed by M. V. Balashov; G. E. Ivanov


Publisher
SP MAIK Nauka/Interperiodica
Year
2006
Tongue
English
Weight
157 KB
Volume
80
Category
Article
ISSN
0001-4346

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## 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