Singularities of Legendre varieties, of evolvents and of fronts at an obstacle
- 1 December 1982
- journal article
- research article
- Published by Cambridge University Press (CUP) in Ergodic Theory and Dynamical Systems
- Vol. 2 (3-4) , 301-309
- https://doi.org/10.1017/s0143385700001620
Abstract
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.Keywords
This publication has 1 reference indexed in Scilit:
- Analytic classification of germs of conformal mappings (C, 0) ? (C, 0) with identity linear partFunctional Analysis and Its Applications, 1981