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Conjugate points on convex surfaces

Part of: General convexity

Published online by Cambridge University Press:  26 February 2010

Tudor Zamfirescu
Tudor Zamfirescu
Affiliation:
Fachbereich Mathematik, Universität Dortmund, Postfach 50 05 00, D-4600 Dortmund 50, Germany.
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Extract

On a convex surface S ⊂ Rd, two points x, y are conjugate if there are at least two shortest paths, called segments, from x to y. This paper is about the set of points conjugate to some fixed point xєS.

MSC classification

Secondary: 52A15: Convex sets in $3$ dimensions (including convex surfaces)

Information

Type
Research Article
Information
Mathematika , Volume 38 , Issue 2 , December 1991 , pp. 312 - 317
Copyright
Copyright © University College London 1991

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