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The local model of an isotropic map-germ arising from one-dimensional symplectic reduction

Published online by Cambridge University Press:  24 October 2008

Goo Ishikawa
Goo Ishikawa
Affiliation:
Department of Mathematics, Hokkaido University, Sapporo 060, Japan
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Abstract

In this paper, we classify generic isotropic map-germs arising from the symplectic reduction process relative to a hypersurface (i.e. one-dimensional reduction), up to symplectic equivalence in the C category. These models are open Whitney umbrellas of arbitrary dimension and their suspensions. These singularities appear in the generalized Cauchy problem for HamiltonJacobi equations.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 111 , Issue 1 , January 1992 , pp. 103 - 112
Copyright
Copyright © Cambridge Philosophical Society 1992

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