Caustics and wave front propagations: applications to differential geometry

• Autorzy: Shyuichi Izumiya , Masatomo Takahashi
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 57R45: Singularities of differentiable mappings
• 58Kxx: Theory of singularities and catastrophe theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2008
• Tom: 82
• Numer: 1
• Strony: 125-142

Daty

wydano

2008

Twórcy

autor

Shyuichi Izumiya

• Department of Mathematics, Faculty of Science, Hokkaido University, Sapporo 060-0810, Japan

autor

Masatomo Takahashi

• Department of Mathematical Science, Common Subject Division, Muroran Institute of Technology, Muroran 050-8585, Japan

Identyfikatory

DOI

10.4064/bc82-0-9