Abstract
The geometry of spaces admitting homogeneous contact transformations was initiated by Eisenhart [5], while Eisenhart and Knebelman [6], where the first to introduce the contact frame. Mutô [8] and Doyle [4] introduced independently, the second contact frame. The geometry of homogeneous contact transformations has been intensively studied by Yano and Mutô [15], [16], and Yano and Davies, [14]. Sasaki [12] also dealt with their geometry but from the point of view of the geometry of the slit cotangent bundle (i.e., zero-section removed).
This article appeared first in Revue Roumaine de Math. Pures et Appliquées, 1977.
Research at the University of Alberta partially supported by NSERC-A-7667.
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Antonelli, P.L., Hrimiuc, D. (2000). On the Geometry of a Homogeneous Contact Transformation. 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_8
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