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  • Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
  • Volume:68 Issue:1
  • A class of submersions and compatible maps in Finsler geometry

A class of submersions and compatible maps in Finsler geometry

Authors : Mircea CRASMAREANU
Pages : 771-775
Doi:10.31801/cfsuasmas.472602
View : 29 | Download : 6
Publication Date : 2019-02-01
Article Type : Research Paper
Abstract :We introduce a class of submersions between two Finslerian manifolds and the class of Finsler-compatible maps which contains the previous class. Defining also the notion of stretch it follows an upper bound for the stretch of these submersions. If the support manifold for the considered Finslerian geometries is the same we introduce a new function, called conformality, as a way to measure quantitatively the difference between the given geometries.
Keywords : Finsler fundamental function, Finsler metric, submersion, Finsler compatible map, stretch, conformality

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