Stable tangential families and singularities of their envelopes

Details Stable tangential families and singularities of their envelopes Stable tangential families and singularities of their envelopes

2004-06-28

arxiv.org/abs/math/0406584v1

Comptes Rendus de l'Academie des Sciences. Serie 1, Mathematique 341 (8) (2005) 503--508

Mathematics

Differential Geometry

Scientific paper

We study tangential families, i.e. systems of rays emanating tangentially
from given curves. We classify, up to Left-Right equivalence, stable
singularities of tangential family germs (under deformations among tangential
families) and we study their envelopes. We discuss applications of our results
to the case of tangent geodesics of a curve.

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