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

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

doi:10.1016/j.topol.2017.11.014


Hokkaido University \| Library \| HUSCAP	Advanced Search		言語

	Home
	About HUSCAP
	Open Access Policy

	Browse by Author

Browse
	Communities & Collections

	Scholarly Journals
	Theses
	Doctoral Dissertations Listed by Graduate Schools
	Conference Procs.
	Events

	HUSCAP Senior (in Japanese)

	Societies

	Downloads (country)

For university staff
	How to post your papers to HUSCAP
	Publication of theses
	Helpline about theses publication

Open Archives Compliant

You can search our collection also at:
	Google
	Google Scholar
	CiNii
	IRDB
	OAIster
	NDLTD

Hokkaido University Collection of Scholarly and Academic Papers >
Graduate School of Science / Faculty of Science >
Peer-reviewed Journal Articles, etc >

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

This item is licensed under:Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International

Files in This Item:

Topology Appl 234 457-473.pdf

5.07 MB

PDF

View/Open

Please use this identifier to cite or link to this item:http://hdl.handle.net/2115/76170

Title:	Binary differential equations at parabolic and umbilical points for 2-parameter families of surfaces
Authors:	Deolindo-Silva, J. L. Browse this author
	Kabata, Y. Browse this author
	Ohmoto, T. Browse this author
Keywords:	Projective differential geometry of surfaces
	Binary differential equations
	Asymptotic curves
	Parabolic curve
	Flecnodal curve
	Singularities of smooth maps
Issue Date:	1-Feb-2018
Publisher:	Elsevier
Journal Title:	Topology and its applications
Volume:	234
Start Page:	457
End Page:	473
Publisher DOI:	10.1016/j.topol.2017.11.014
Abstract:	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 P-3 by comparing our projective classification of Monge forms and classification of general BDE obtained by Taxi 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. (C) 2017 Elsevier B.V. All rights reserved.
Rights:	©2017 This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
Rights:	http://creativecommons.org/licenses/by-nc-nd/4.0/
Type:	article (author version)
URI:	http://hdl.handle.net/2115/76170
Appears in Collections:	理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 大本亨(おおもととおる)

OAI-PMH ( junii2 , jpcoar_1.0 )

- Hokkaido University