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One version of Miron’s geometry in \(\operatorname{Osc}^3M\). (English) Zbl 1013.53020

The author deals with the geometry of \(\operatorname{Osc}^3M\) and particularly pays attention to variational problems and integrability conditions. By using a slightly different transformation group than that used by Miron and Atanasiu she obtains a different geometry.

MSC:

53B40 Local differential geometry of Finsler spaces and generalizations (areal metrics)
53B25 Local submanifolds
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