First Steps of Local Contact Algebra
Arnold, Vladimir (1999), First Steps of Local Contact Algebra, Canadian Journal of Mathematics, 51, p. 1123-1134. http://dx.doi.org/10.4153/CJM-1999-049-9
TypeArticle accepté pour publication ou publié
Journal nameCanadian Journal of Mathematics
Canadian Mathematical Society
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Abstract (EN)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.
Subjects / KeywordsContact manifolds; Local contact algebra; Diracian; Contactian
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