Caustics and wave front propagations: applications to differential geometry

@article{ShyuichiIzumiya2008,
abstract = {This is mainly a survey on the theory of caustics and wave front propagations with applications to differential geometry of hypersurfaces in Euclidean space. We give a brief review of the general theory of caustics and wave front propagations, which are well-known now. We also consider a relationship between caustics and wave front propagations which might be new. Moreover, we apply this theory to differential geometry of hypersurfaces, getting new geometric properties.},
author = {Shyuichi Izumiya, Masatomo Takahashi},
journal = {Banach Center Publications},
keywords = {caustics; wave fronts; evolutes; parallels; Lagrangian singularities; Legendrian singularities},
language = {eng},
number = {1},
pages = {125-142},
title = {Caustics and wave front propagations: applications to differential geometry},
url = {http://eudml.org/doc/281971},
volume = {82},
year = {2008},
}

TY - JOUR
AU - Shyuichi Izumiya
AU - Masatomo Takahashi
TI - Caustics and wave front propagations: applications to differential geometry
JO - Banach Center Publications
PY - 2008
VL - 82
IS - 1
SP - 125
EP - 142
AB - This is mainly a survey on the theory of caustics and wave front propagations with applications to differential geometry of hypersurfaces in Euclidean space. We give a brief review of the general theory of caustics and wave front propagations, which are well-known now. We also consider a relationship between caustics and wave front propagations which might be new. Moreover, we apply this theory to differential geometry of hypersurfaces, getting new geometric properties.
LA - eng
KW - caustics; wave fronts; evolutes; parallels; Lagrangian singularities; Legendrian singularities
UR - http://eudml.org/doc/281971
ER -