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- W1943687895 abstract "An extension of conformal equivalence for Finsler metrics is introduced and called weakly conformal equivalence and is used to define the weakly conformal transformations. The conformal Lichnerowicz-Obata conjecture is refined to weakly conformal Finsler geometry. It is proved that: If X is a weakly conformal complete vector field on a connected Finsler space (M, F) of dimension , then, at least one of the following statements holds: (a) There exists a Finsler metric F1 weakly conformally equivalent to F such that X is a Killing vector field of the Finsler metric, (b) M is diffeomorphic to the sphere and the Finsler metric is weakly conformally equivalent to the standard Riemannian metric on , and (c) M is diffeomorphic to the Euclidean space and the Finsler metric F is weakly conformally equivalent to a Minkowski metric on . The considerations invite further dynamics on Finsler manifolds." @default.
- W1943687895 created "2016-06-24" @default.
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- W1943687895 date "2014-03-31" @default.
- W1943687895 modified "2023-09-26" @default.
- W1943687895 title "Weakly conformal Finsler geometry" @default.
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- W1943687895 doi "https://doi.org/10.1002/mana.201300099" @default.
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