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Conjugate points and closed geodesic arcs on convex surfaces

โœ Scribed by Tudor Zamfirescu


Publisher
Springer
Year
1996
Tongue
English
Weight
372 KB
Volume
62
Category
Article
ISSN
0046-5755

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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 __ฯ€__ on the total curvature __ฯ‰~y~__ at __y__, __ฯ‰~y~__ โ‰ฅ __ฯ€__. Further conseque