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math.DG2009
Capacity on Finsler Spaces
B. Bidabad, S. Hedayatian
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…
math.DG2006★ 1 cited
Invariant conformal geometry on Finsler manifolds
Behroz Bidabad, Sina Hedayatian
The electric capacity of a conductor in the 3-dimensional Euclidean space is defined as a ratio of a given positive charge on the conductor to the value of potential on the…
math.DG2006
Conformal Vector Fields on Tangent Bundle of a Riemannian Manifold
B. Bidabad, S. Hedayatian
Let M be an n-dimensional Riemannian manifold and TM its tangent bundle. The conformal and fiber preserving vector fields on TM have well-known physical interpretations and have be…