uu.seUppsala University Publications
Change search
ReferencesLink to record
Permanent link

Direct link
Area-preserving isotopies of self-transverse immersions of S (1) in a"e(2)
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics.
2013 (English)In: Arkiv för matematik, ISSN 0004-2080, E-ISSN 1871-2487, Vol. 51, no 1, 85-97 p.Article in journal (Refereed) Published
Abstract [en]

Let C and C' be two smooth self-transverse immersions of S (1) into a"e(2). Both C and C' subdivide the plane into a number of disks and one unbounded component. An isotopy of the plane which takes C to C' induces a one-to-one correspondence between the disks of C and C'. An obvious necessary condition for there to exist an area-preserving isotopy of the plane taking C to C' is that there exists an isotopy for which the area of every disk of C equals that of the corresponding disk of C'. In this paper we show that this is also a sufficient condition.

Place, publisher, year, edition, pages
2013. Vol. 51, no 1, 85-97 p.
National Category
Natural Sciences
URN: urn:nbn:se:uu:diva-197954DOI: 10.1007/s11512-012-0165-9ISI: 000316012800005OAI: oai:DiVA.org:uu-197954DiVA: diva2:615396
Available from: 2013-04-10 Created: 2013-04-08 Last updated: 2013-04-10Bibliographically approved

Open Access in DiVA

No full text

Other links

Publisher's full text

Search in DiVA

By author/editor
Karlsson, Cecilia
By organisation
Department of Mathematics
In the same journal
Arkiv för matematik
Natural Sciences

Search outside of DiVA

GoogleGoogle Scholar
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Altmetric score

Total: 251 hits
ReferencesLink to record
Permanent link

Direct link