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Bidabad, B., Hedayatian, S.. (1391). Capacity and a classification of Finsler spaces. , 36(3), 267-275. doi: 10.22099/ijsts.2012.2077
B. Bidabad; S. Hedayatian. "Capacity and a classification of Finsler spaces". , 36, 3, 1391, 267-275. doi: 10.22099/ijsts.2012.2077
Bidabad, B., Hedayatian, S.. (1391). 'Capacity and a classification of Finsler spaces', , 36(3), pp. 267-275. doi: 10.22099/ijsts.2012.2077
Bidabad, B., Hedayatian, S.. Capacity and a classification of Finsler spaces. , 1391; 36(3): 267-275. doi: 10.22099/ijsts.2012.2077

Capacity and a classification of Finsler spaces

Iranian Journal of Science
مقاله 7، دوره 36، شماره 3، شهریور 2012، صفحه 267-275    اصل مقاله (135.16 K)
نوع مقاله: Regular Paper
شناسه دیجیتال (DOI): 10.22099/ijsts.2012.2077
نویسندگان
B. Bidabad* 1؛ S. Hedayatian2
1Faculty of Mathematics and Computer Sciences, Amirkabir University of Technology (Tehran Polytechnic), 424 Hafez Ave 15914 Tehran, Iran
2Faculty of Mathematics and Computer Sciences, Shahid Chamran University of Ahvaz, P.O. Box: 61355-83151, Ahvaz, Iran
چکیده
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.
کلیدواژه‌ها
Conformal؛ Capacity؛ condenser؛ Finsler metrics؛ potential analysis
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