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THE METRIC DIMENSION OF METRIC MANIFOLDS

Part of: Distance geometry Spaces with richer structures Global differential geometry

Published online by Cambridge University Press:  11 February 2015

MAJID HEYDARPOUR  and
SAEID MAGHSOUDI
MAJID HEYDARPOUR*
Affiliation:
Department of Mathematics, University of Zanjan, Zanjan 45195-313, Iran email [email protected]
SAEID MAGHSOUDI
Affiliation:
Department of Mathematics, University of Zanjan, Zanjan 45195-313, Iran email [email protected]
*
✉[email protected]
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Abstract

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In this paper we determine the metric dimension of $n$-dimensional metric $(X,G)$-manifolds. This category includes all Euclidean, hyperbolic and spherical manifolds as special cases.

Keywords

metric dimensionmetric (X, G)-manifoldhyperbolic and spherical spacesRiemannian manifoldgeometric space

MSC classification

Primary: 54E35: Metric spaces, metrizability
Secondary: 51K05: General theory 53C20: Global Riemannian geometry, including pinching
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 91 , Issue 3 , June 2015 , pp. 508 - 513
Copyright
© 2015 Australian Mathematical Publishing Association Inc. 

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