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First Steps of Local Contact Algebra

Published online by Cambridge University Press:  20 November 2018

V. I. Arnold
V. I. Arnold*
Affiliation:
Steklov Mathematical Institute 8, Gubkina Street, 117966 Moscow, GSP – 1, Russia CEREMADE, Université Paris-Dauphine, Place du Maréchal de Lattre de Tassigny, 75775 Paris, Cedex 16-e, France
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Abstract

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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

53D1014B05contact manifoldslocal contact algebraDiraciancontactian

Information

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 51 , Issue 6 , 01 December 1999 , pp. 1123 - 1134
Copyright
Copyright © Canadian Mathematical Society 1999

References

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