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On the convex invariance in Finsler geometry. (English) Zbl 1324.53069

Summary: As a natural application of the theory of geometric averaging in Finsler geometry and generalized Finsler geometry, a new approach to investigate generalized Finsler geometry, based on a convex invariance of the average structures, is introduced.

MSC:

53C60 Global differential geometry of Finsler spaces and generalizations (areal metrics)
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