Add to ORKGThis is intended as an introduction to and review of the theory of Lagrangian and Legendrian submanifolds and their associated maps developed by Arnold and his collaborators. The theory is illustrated by applications to HamiltonJacobi theory and the eikonal equation, with an emphasis on null surfaces and wave fronts and their associated caustics and singularities
The Lagrange manifold (WKB) formalism enables the determination of the asymptotic series solution of...
This is a half survey on the classical results of extrinsic differential geometry of hypersurfaces i...
A method of solving the eikonal equation, in either flat or curved space-times, with arbitrary Cauch...
This is intended as an introduction to and review of the theory of Lagrangian and Legendrian submani...
This is intended as an introduction to and review of the work of V, Arnold and his collaborators on ...
In a number of previous papers of the first and third authors, caustics, cut-loci, spheres, and wave...
AbstractWe investigate a relationship between the caustics of a submanifold of general dimension and...
Abstract. In a number of previous papers of the first and third authors, caustics, cut-loci, spheres...
As an application of the theory of graph-like Legendrian unfoldings, relations of the hidden structu...
This is a half survey on the classical results of extrinsic differential geometry of hyper-surfaces ...
summary:Rossby wave equations characterize a class of wave phenomena occurring in geophysical fluid ...
This book describes recent progress in the topological study of plane curves. The theory of plane cu...
Abstract: We consider singularities of the wave front of a smooth plane curve from the vie...
We show how to use the Projective Duality to compute the support of caustics related to geometrical ...
summary:The linearized vorticity equation serves to model a number of wave phenomena in geophysical ...
The Lagrange manifold (WKB) formalism enables the determination of the asymptotic series solution of...
This is a half survey on the classical results of extrinsic differential geometry of hypersurfaces i...
A method of solving the eikonal equation, in either flat or curved space-times, with arbitrary Cauch...
This is intended as an introduction to and review of the theory of Lagrangian and Legendrian submani...
This is intended as an introduction to and review of the work of V, Arnold and his collaborators on ...
In a number of previous papers of the first and third authors, caustics, cut-loci, spheres, and wave...
AbstractWe investigate a relationship between the caustics of a submanifold of general dimension and...
Abstract. In a number of previous papers of the first and third authors, caustics, cut-loci, spheres...
As an application of the theory of graph-like Legendrian unfoldings, relations of the hidden structu...
This is a half survey on the classical results of extrinsic differential geometry of hyper-surfaces ...
summary:Rossby wave equations characterize a class of wave phenomena occurring in geophysical fluid ...
This book describes recent progress in the topological study of plane curves. The theory of plane cu...
Abstract: We consider singularities of the wave front of a smooth plane curve from the vie...
We show how to use the Projective Duality to compute the support of caustics related to geometrical ...
summary:The linearized vorticity equation serves to model a number of wave phenomena in geophysical ...
The Lagrange manifold (WKB) formalism enables the determination of the asymptotic series solution of...
This is a half survey on the classical results of extrinsic differential geometry of hypersurfaces i...
A method of solving the eikonal equation, in either flat or curved space-times, with arbitrary Cauch...