a geometric characterization of finsler manifolds of constant curvature k=1
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a geometric characterization of finsler manifolds of constant curvature k=1

;A. Bejancu;H. R. Farran
structural engineering and mechanics 2000 Vol. 23 pp. 399-407
110
bejancu2000internationala

Abstract

We prove that a Finsler manifold 𝔽m is of constant curvature K=1 if and only if the unit horizontal Liouville vector field is a Killing vector field on the indicatrix bundle IM of 𝔽m.

Keywords

mathematics

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DOI:
10.1155/S0161171200002179
URL:
http://dx.doi.org/10.1155/S0161171200002179

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ID: 199707
Ref Key: bejancu2000internationala
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199707
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10.1155/S0161171200002179
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