A characterization of sub-riemannian spaces as length dilatation structures constructed via coherent projections

نویسنده

  • Marius Buliga
چکیده

We introduce length dilatation structures on metric spaces, tempered dilatation structures and coherent projections and explore the relations between these objects and the Radon-Nikodym property and Gamma-convergence of length functionals. Then we show that the main properties of sub-riemannian spaces can be obtained from pairs of length dilatation structures, the first being a tempered one and the second obtained via a coherent projection.

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تاریخ انتشار 2008