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7. Chains and pseudo-circles

    1. Problem 7.1.

      [R. Montgomery] What do pseudo-circles really mean? More precisely:

      (a) Is there a variational formulation of chains and pseudo-circles? For example, is there a Finsler structure on $M^3$ which yields chains or pseudo-circles as geodesics?

      (b) Is there a Fefferman-type construction that yields pseudo-circles?

          Cite this as: AimPL: Analysis and geometry on pseudohermitian manifolds, available at http://aimpl.org/pshermitian.