Bifurcation of plane-to-plane map-germs of corank 2

Toshiki Yoshida, Yutaro Kabata, Toru Ohmoto

研究成果: ジャーナルへの寄稿記事

3 引用 (Scopus)

抄録

We describe the bifurcation diagrams of plane-to-plane map-germs of corank 2 up to Aecodimension 4, and draw some new pictures. Two applications are presented: First, we study the affine differential geometry of crosscaps in 3-space by means of analyzing singularities of projections of the singular surface to the plane. Secondly, we give some new examples of generic two-dimensional bifurcations of D4+-type planar caustics.

元の言語英語
ページ(範囲)369-391
ページ数23
ジャーナルQuarterly Journal of Mathematics
66
発行部数1
DOI
出版物ステータス出版済み - 1 1 2015

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Bifurcation
Singular Surfaces
Affine geometry
Caustic
Differential Geometry
Bifurcation Diagram
Projection
Singularity

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

これを引用

Bifurcation of plane-to-plane map-germs of corank 2. / Yoshida, Toshiki; Kabata, Yutaro; Ohmoto, Toru.

:: Quarterly Journal of Mathematics, 巻 66, 番号 1, 01.01.2015, p. 369-391.

研究成果: ジャーナルへの寄稿記事

Yoshida, Toshiki ; Kabata, Yutaro ; Ohmoto, Toru. / Bifurcation of plane-to-plane map-germs of corank 2. :: Quarterly Journal of Mathematics. 2015 ; 巻 66, 番号 1. pp. 369-391.
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