Caustics and wave front propagations: applications to differential geometry

Tom 82 / 2008

Shyuichi Izumiya, Masatomo Takahashi Banach Center Publications 82 (2008), 125-142 MSC: Primary 57R45; Secondary 58Kxx. DOI: 10.4064/bc82-0-9

Streszczenie

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.

Autorzy

  • Shyuichi IzumiyaDepartment of Mathematics
    Faculty of Science
    Hokkaido University
    Sapporo 060-0810, Japan
    e-mail
  • Masatomo TakahashiDepartment of Mathematical Science
    Common Subject Division
    Muroran Institute of Technology
    Muroran 050-8585, Japan
    e-mail

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