This 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 main concepts of gravitational lens theory are introduced on the basis of spacetime geometry wit...
This is a half survey on the classical results of extrinsic differential geometry of hyper-surfaces ...
In this thesis at the boundary between analysis and geometry, we study some subelliptic partial diff...
This is intended as an introduction to and review of the work of V, Arnold and his collaborators on ...
This is intended as an introduction to and review of the theory of Lagrangian and Legendrian submani...
Abstract. In a number of previous papers of the first and third authors, caustics, cut-loci, spheres...
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...
This is a half survey on the classical results of extrinsic differential geometry of hypersurfaces i...
summary:Rossby wave equations characterize a class of wave phenomena occurring in geophysical fluid ...
As an application of the theory of graph-like Legendrian unfoldings, relations of the hidden structu...
We give a geometric description of (wave) fronts in wave propagation processes. The concrete form of...
Dans cette thèse à la frontière entre analyse et géométrie, nous étudions des équations aux dérivées...
This book describes recent progress in the topological study of plane curves. The theory of plane cu...
This is a thesis on general relativity. It analyzes dynamical properties of Einstein's field equatio...
The main concepts of gravitational lens theory are introduced on the basis of spacetime geometry wit...
This is a half survey on the classical results of extrinsic differential geometry of hyper-surfaces ...
In this thesis at the boundary between analysis and geometry, we study some subelliptic partial diff...
This is intended as an introduction to and review of the work of V, Arnold and his collaborators on ...
This is intended as an introduction to and review of the theory of Lagrangian and Legendrian submani...
Abstract. In a number of previous papers of the first and third authors, caustics, cut-loci, spheres...
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...
This is a half survey on the classical results of extrinsic differential geometry of hypersurfaces i...
summary:Rossby wave equations characterize a class of wave phenomena occurring in geophysical fluid ...
As an application of the theory of graph-like Legendrian unfoldings, relations of the hidden structu...
We give a geometric description of (wave) fronts in wave propagation processes. The concrete form of...
Dans cette thèse à la frontière entre analyse et géométrie, nous étudions des équations aux dérivées...
This book describes recent progress in the topological study of plane curves. The theory of plane cu...
This is a thesis on general relativity. It analyzes dynamical properties of Einstein's field equatio...
The main concepts of gravitational lens theory are introduced on the basis of spacetime geometry wit...
This is a half survey on the classical results of extrinsic differential geometry of hyper-surfaces ...
In this thesis at the boundary between analysis and geometry, we study some subelliptic partial diff...