Capacity on Finsler spaces

zbMATH Open1188.53085arXiv0902.0467MaRDI QIDQ2272269

S. Hedayatian, Behroz Bidabad

Publication date: 10 August 2009

Published in: Iranian Journal of Science and Technology, Transactions A: Science (Search for Journal in Brave)

Abstract: Here, the concept of electric capacity on Finsler spaces is introduced and the fundamental conformal invariant property is proved, i.e. the capacity of a compact set on a connected non-compact Finsler manifold is conformal invariant. This work enables mathematicians and theoretical physicists to become more familiar with the global Finsler geometry and one of its new applications.

Full work available at URL: https://arxiv.org/abs/0902.0467

Mathematics Subject Classification ID

Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60)

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