Binary differential equations at parabolic and umbilical points for 2-parameter families of surfaces

J. L. Deolindo-Silva, Y. Kabata, T. Ohmoto

研究成果: ジャーナルへの寄稿記事

抜粋

We determine local topological types of binary differential equations of asymptotic curves at parabolic and flat umbilical points for generic 2-parameter families of surfaces in P3 by comparing our projective classification of Monge forms and classification of general BDE obtained by Tari and Oliver. In particular, generic bifurcations of the parabolic curve are classified. The flecnodal curve is also examined by direct computations, and we present new bifurcation diagrams in typical examples.

元の言語英語
ページ(範囲)457-473
ページ数17
ジャーナルTopology and its Applications
234
DOI
出版物ステータス出版済み - 2 1 2018

    フィンガープリント

All Science Journal Classification (ASJC) codes

  • Geometry and Topology

これを引用