Abstract
A Finsler space F n whose indicatrices are affine deformations of a smooth, convex, symmetrical hypersurface I 0 is an F n with 1-form metric (see L. Tamassy’s paper in this volume). If I 0 is also a rotation surface, then \({\tilde F^n}\) admits affine metrical connections \({\mathop \Gamma \limits^{am} (x)}\) (x) with nonvanishing curvature R ≠ 0. Does the converse hold (i.e., is I 0 always a rotation surface if R ≠ 0)?
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© 2000 Springer Science+Business Media Dordrecht
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Tamássy, L. (2000). Problem. In: Antonelli, P.L. (eds) Finslerian Geometries. Fundamental Theories of Physics, vol 109. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4235-9_22
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DOI: https://doi.org/10.1007/978-94-011-4235-9_22
Publisher Name: Springer, Dordrecht
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