<i>A</i><sub>2</sub>-singularities of hypersurfaces with non-negative sectional curvature in Euclidean space

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Author(s)

    • Saji Kentaro
    • Department of Mathematics Faculty of Education Gifu University
    • Umehara Masaaki
    • Department of Mathematical and Computing Sciences Tokyo Institute of Technology

Abstract

In a previous work, the authors gave a definition of `front bundles'. Using this, we give a realization theorem for wave fronts in space forms, like as in the fundamental theorem of surface theory. As an application, we investigate the behavior of principal singular curvatures along <i>A</i><sub>2</sub>-singularities of hypersurfaces with non-negative sectional curvature in Euclidean space.

Journal

  • Kodai Mathematical Journal

    Kodai Mathematical Journal 34(3), 390-409, 2011

    Department of Mathematics, Tokyo Institute of Technology

Codes

  • NII Article ID (NAID)
    130004687956
  • Text Lang
    ENG
  • ISSN
    0386-5991
  • Data Source
    J-STAGE 
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