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Singularities of Legendre varieties, of evolvents and of fronts at an obstacle

Published online by Cambridge University Press:  19 September 2008

V. I. Arnol'd
V. I. Arnol'd
Affiliation:
Department of Mathematics and Mechanics, Moscow State University, Lenin Hills 117234, Moscow, USSR
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Abstract

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The Legendre manifolds are the maximal integral submanifolds of a contact manifold. The shortest path problem on a manifold with boundary leads to Legendre varieties. We find normal forms of their generic singularities in terms of binary forms invariants theory.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 2 , Issue 3-4 , December 1982 , pp. 301 - 309
Copyright
Copyright © Cambridge University Press 1982

References

REFERENCES

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