INVARIANT CONFORMAL GEOLNETRY ON FINSLER MANIFOLDS

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HEDAYATIAN S.; BIDABAD B.; REZAEI B.

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Journal: AMIRKABIR Year:2005 | Volume:16 | Issue:62-D Page(s): 81-87

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Information Journal Paper

Title

INVARIANT CONFORMAL GEOLNETRY ON FINSLER MANIFOLDS

Author(s)

HEDAYATIAN S. | BIDABAD B. | REZAEI B. | Issue Writer Certificate

Keywords

FINSLER MANIFOLDQ4

CONFORMAL INVARIANTQ4

CONFORMAL CAPACITYQ4

Abstract

Here the capacity of compact sets in a non-compact FINSLER MANIFOLD is introduced. We show that it is invariant under conformal mappings. In the other words we prove that; If (M, g) is a non-compact FINSLER MANIFOLD then the capacity of a compact set in M is invariant under conformal mappings, and also the capacity of a paire of closed subsets of a FINSLER MANIFOLD is invariant under conformal mappings. Then we construct and study some famous CONFORMAL INVARIANT functions which are efficient tools for solving some problems in the case of conformal Riemannian geometry in the large.

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APA: Copy

HEDAYATIAN, S., BIDABAD, B., & REZAEI, B.. (2005). INVARIANT CONFORMAL GEOLNETRY ON FINSLER MANIFOLDS. AMIRKABIR, 16(62-D), 81-87. SID. https://sid.ir/paper/839/en

Vancouver: Copy

HEDAYATIAN S., BIDABAD B., REZAEI B.. INVARIANT CONFORMAL GEOLNETRY ON FINSLER MANIFOLDS. AMIRKABIR[Internet]. 2005;16(62-D):81-87. Available from: https://sid.ir/paper/839/en

IEEE: Copy

S. HEDAYATIAN, B. BIDABAD, and B. REZAEI, “INVARIANT CONFORMAL GEOLNETRY ON FINSLER MANIFOLDS,” AMIRKABIR, vol. 16, no. 62-D, pp. 81–87, 2005, [Online]. Available: https://sid.ir/paper/839/en

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