Topological rigidity for certain families of differentiable plane curves

Jean Paul Dufour; Yasuhiro Kurokawa

doi:10.1112/S0024610701002733

Topological rigidity for certain families of differentiable plane curves

Jean Paul Dufour, Yasuhiro Kurokawa

研究成果: Article

3 引用（Scopus）

抜粋

It is shown that the topological classification and the smooth classification are generically the same for certain families of plane curves in a semi-local case (that is, the double local case). The normal form of transversely joined two families of plane curves with second-order contact at the envelope is also given.

元の言語	English
ページ（範囲）	223-242
ページ数	20
ジャーナル	Journal of the London Mathematical Society
巻	65
発行部数	1
DOI	https://doi.org/10.1112/S0024610701002733
出版物ステータス	Published - 2002 1 1

ASJC Scopus subject areas

Mathematics(all)

文献にアクセス

10.1112/S0024610701002733

フィンガープリント Topological rigidity for certain families of differentiable plane curves' の研究トピックを掘り下げます。これらはともに一意のフィンガープリントを構成します。

これを引用

Dufour, J. P., & Kurokawa, Y. (2002). Topological rigidity for certain families of differentiable plane curves. Journal of the London Mathematical Society, 65(1), 223-242. https://doi.org/10.1112/S0024610701002733

@article{1d0aec43fcb640db9ac5ca52eec3ea2f,

title = "Topological rigidity for certain families of differentiable plane curves",

abstract = "It is shown that the topological classification and the smooth classification are generically the same for certain families of plane curves in a semi-local case (that is, the double local case). The normal form of transversely joined two families of plane curves with second-order contact at the envelope is also given.",

author = "Dufour, {Jean Paul} and Yasuhiro Kurokawa",

year = "2002",

month = jan,

day = "1",

doi = "10.1112/S0024610701002733",

language = "English",

volume = "65",

pages = "223--242",

journal = "Journal of the London Mathematical Society",

issn = "0024-6107",

publisher = "Oxford University Press",

number = "1",

}

TY - JOUR

T1 - Topological rigidity for certain families of differentiable plane curves

AU - Dufour, Jean Paul

AU - Kurokawa, Yasuhiro

PY - 2002/1/1

Y1 - 2002/1/1

N2 - It is shown that the topological classification and the smooth classification are generically the same for certain families of plane curves in a semi-local case (that is, the double local case). The normal form of transversely joined two families of plane curves with second-order contact at the envelope is also given.

AB - It is shown that the topological classification and the smooth classification are generically the same for certain families of plane curves in a semi-local case (that is, the double local case). The normal form of transversely joined two families of plane curves with second-order contact at the envelope is also given.

UR - http://www.scopus.com/inward/record.url?scp=0036337772&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0036337772&partnerID=8YFLogxK

U2 - 10.1112/S0024610701002733

DO - 10.1112/S0024610701002733

M3 - Article

AN - SCOPUS:0036337772

VL - 65

SP - 223

EP - 242

JO - Journal of the London Mathematical Society

JF - Journal of the London Mathematical Society

SN - 0024-6107

IS - 1

ER -