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On conditions for existence of umbilical points on a convex surface

✍ Scribed by V. A. Toponogov


Book ID
105464433
Publisher
SP MAIK Nauka/Interperiodica
Year
1995
Tongue
English
Weight
449 KB
Volume
36
Category
Article
ISSN
0037-4466

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Criteria for farthest points on convex s
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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