capacity and a classification of finsler spaces
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abstract
using the electrostatic capacity of a condenser, the existence of a distance function on a finsler space is discussed. this distance function divides finsler spaces into the two classes, denoted here by i and ii. the topology generated by this distance on the finsler spaces of class ii coincides with its intrinsic topology. this work provides a natural extension of mathematical analysis tools needed for developing some prominent features of differential geometry in the large.
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Journal title:
iranian journal of science and technology (sciences)ISSN 1028-6276
volume 36
issue 3 2012
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