• Corpus ID: 229331656

An introduction to Reshetnyak's theory of subharmonic distances

@inproceedings{Fillastre2020AnIT,
  title={An introduction to Reshetnyak's theory of subharmonic distances},
  author={Franccois Fillastre},
  year={2020}
}
A distance may be defined on a domain of the plane, by considering a suitable set of admissible curves, and a function λ such that its square root is integrable along any admissible curve. More precisely, to integrate the square root of λ gives a notion of length of the curve, and taking the infimum of these lengths between two points endows the domain with a pseudo-distance. If λ is C∞, one obtains a Riemannian distance. Other basic famous examples are flat metrics with conical singularities… 

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