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First Steps of Local Contact Algebra |
Canad. J. Math. 51(1999), 1123-1134
Published:1999-12-01
Printed: Dec 1999
Printed: Dec 1999
- V. I. Arnold
Abstract
We consider germs of mappings of a line to contact space and
classify the first simple singularities up to the action of
contactomorphisms in the target space and diffeomorphisms of the
line. Even in these first cases there arises a new interesting
interaction of local commutative algebra with contact structure.
| Keywords: | contact manifolds, local contact algebra, Diracian, contactian |
| MSC Classifications: |
53D10 - Contact manifolds, general 14B05 - Singularities [See also 14E15, 14H20, 14J17, 32Sxx, 58Kxx] |