Finsler metrics of scalar flag curvature and projective invariants.
Najafi, B., Tayebi, A. (2010)
Balkan Journal of Geometry and its Applications (BJGA)
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Najafi, B., Tayebi, A. (2010)
Balkan Journal of Geometry and its Applications (BJGA)
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Tamás Milkovszki, Zoltán Muzsnay (2017)
Czechoslovak Mathematical Journal
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A. Rapcsák obtained necessary and sufficient conditions for the projective Finsler metrizability in terms of a second order partial differential system. In this paper we investigate the integrability of the Rapcsák system and the extended Rapcsák system, by using the Spencer version of the Cartan-Kähler theorem. We also consider the extended Rapcsák system completed with the curvature condition. We prove that in the non-isotropic case there is a nontrivial Spencer cohomology group in...
Murărescu, Gheorghe, Stavre, Petre (1997)
Balkan Journal of Geometry and its Applications (BJGA)
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Murarescu, Gh., Stavre, P. (1999)
Novi Sad Journal of Mathematics
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Brigitta Szilágyi (2003)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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Álvarez Paiva, J.C., Fernandes, E. (1998)
Electronic Research Announcements of the American Mathematical Society [electronic only]
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Hans Deo Pande (1969)
Czechoslovak Mathematical Journal
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David Saunders (2012)
Communications in Mathematics
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The projective Finsler metrizability problem deals with the question whether a projective-equivalence class of sprays is the geodesic class of a (locally or globally defined) Finsler function. This paper describes an approach to the problem using an analogue of the multiplier approach to the inverse problem in Lagrangian mechanics.