# Multiplicity and stability of closed geodesics on bumpy Finsler 3-spheres

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In this paper, we prove that for every Finsler n-sphere ( S, F) all of whose prime closed geodesics are non-degenerate with reversibility Î» and flag curvature K satisfying $${\left(\frac{\lambda}{\lambda+1}\right)^2 < K \le 1,}$$ there exist $${2[\frac{n+1}{2}]-1}$$ prime closed geodesics;...

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Using a standard fact in hyperbolic geometry, we give a simple proof of the uniqueness of PL minimal surfaces, thus filling in a gap in the original proof of Jaco and Rubinstein. Moreover, in order to clarify some ambiguity, we sharpen the definition of PL minimal surfaces, and prove a technical...

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The aim of this paper is to develop on the 1-jet space JÂ¹(R,M4) the Finslerlike geometry (in the sense of distinguished (d-) connection, d-torsions, d-curvatures and some gravitational-like and electromagnetic-like geometrical models) for the xconformal deformed rheonomic Berwald-MoÃ³r...

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In this paper, we study the properties of special (Î±, Î²)-metric Î±e Î²/Î± + Î², the Randers change of exponential metric. We find a necessary and sufficient condition for this metric to be locally projectively flat and we prove the conditions for this metric to be of Berwald and...

- GEODESICS ON THE INDICATRIX OF A COMPLEX FINSLER MANIFOLD. Munteanu, Gheorghe // Bulletin of the Transilvania University of Brasov, Series III: M;2010, Vol. 3 Issue 52, p53
In this note the geometry of the indicatrix (I; LËœ) is studied as a hypersurface of a complex Finsler space (M;L). The induced Chern-Finsler and Berwald connections are defined and studied. The induced Berwald connection coincides with the intrinsic Berwald connection of the indicatrix...