Synthetic Geometry and Generalised Functions

نویسنده

  • James D.E. Grant
چکیده

We review some aspects of the geometry of length spaces and metric spaces, in particular Alexandrov spaces with curvature bounded below and/or above. We then point out some possible directions of research to explore connections between the synthetic approach to Riemannian geometry and some aspects of the approach to non-smooth differential geometry through generalised functions. AMS Mathematics Subject Classification (2010): 51K10, 46F30

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تاریخ انتشار 2011