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Average distance constants for polygons in spaces with non-positive curvature

Published online by Cambridge University Press:  17 April 2009

Devendra K. Kulshestha ,
Tom W. Sag  and
Lu Yang
Devendra K. Kulshestha
Affiliation:
School of Mathematical Sciences The Flinders University of South Australia, Bedford Park SA 5042, Australia
Tom W. Sag
Affiliation:
School of Mathematical Sciences The Flinders University of South Australia, Bedford Park SA 5042, Australia
Lu Yang
Affiliation:
Institute of Mathematical Science Chengdu Branch, Academia Sinica Chengdu, China
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Abstract

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In this paper we show that the average distance constant of a general polygon which is a subset of an M-space with non-positive curvature can be expressed as the extreme value of either of two nonlinear programs and discuss the practical application of one of these nonlinear programs for the determination of the average distance constant for a polygon in general, and in particular for a planar triangle.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 42 , Issue 2 , October 1990 , pp. 323 - 333
Copyright
Copyright © Australian Mathematical Society 1990

References

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