Topological rigidity for certain families of differentiable plane curves

Jean Paul Dufour; Yasuhiro Kurokawa

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Topological rigidity for certain families of differentiable plane curves

Jean Paul Dufour·Yasuhiro Kurokawa

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Abstract

We show that the topological classification and the smooth classification are generically the same for certain families of plane curves in a semi-local case(the double local case). Especially we give the normal form of transversely jointed two families of plane curves with second order contact at the envelope.

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Jean Paul Dufour, Yasuhiro Kurokawa. 1999-06-15. Topological rigidity for certain families of differentiable plane curves. https://arxiv.org/abs/math/9906105

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