Calculus of Variations and Geometric Measure Theory
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On asymmetric distances

Preprint
(2004)

Author: Andrea C. G. Mennucci
Keywords: metric space, Hopf-Rinow, Finsler metrics, 53C22, 53C60, quasi metric
Abstract: This essay discusses asymmetric metric spaces on an abstract setting, mimicking the usual theory of metric spaces, but adding ideas derived from Finsler geometry; as a typical application, it considers asymmetric metric spaces as generated by functionals in Calculus of Variation.[PS][PDF]

[BibTeX Entry]

Available Files:

asym_met-2nd_version-2007.pdf

asym_met-1st_version-2004.pdf

abstract.tex (abstract.ps, abstract.pdf)

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