Caustics and wave front propagations: applications to differential geometry
Volume 82 / 2008
Banach Center Publications 82 (2008), 125-142
MSC: Primary 57R45; Secondary 58Kxx.
DOI: 10.4064/bc82-0-9
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.
