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I asked this already on Math SE. Maybe this definition is not quite common, but I'm asking myself what a Lipschitz hypersurface is. Intuitively this is a hypersurface which can locally be parametrized by Lipschitz functions. I hope this intuition is correct. Nevertheless I didn't find any precise definition. Does anybody know an exact definition of what a Lipschitz hyersurface is ?

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    $\begingroup$ This is one possible interpretation. Another is a hyper surface which is locally a Lipschitz graph. If you found this when reading a paper, I suggest you check the context and how this notion is used. $\endgroup$
    – Moishe Kohan
    Commented Apr 20, 2021 at 23:46
  • $\begingroup$ Thanks, isn't this the same, i.e. to say that it is locally parametrized by Lipschitz functions and a local Lipschitz graph ? $\endgroup$
    – user99432
    Commented Apr 21, 2021 at 7:08

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