Volume 6, issue 1 (2006)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 25, 1 issue

Volume 24, 9 issues

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1472-2739 (online)
ISSN 1472-2747 (print)
Author Index
To Appear
 
Other MSP Journals
Regular homotopy and total curvature I: circle immersions into surfaces

Tobias Ekholm

Algebraic & Geometric Topology 6 (2006) 459–492
Bibliography
1 V I Arnol’d, Plane curves, their invariants, perestroikas and classifications, from: "Singularities and bifurcations", Adv. Soviet Math. 21, Amer. Math. Soc. (1994) 33 MR1310595
2 T Ekholm, Regular homotopy and total curvature II: sphere immersions into $3$-space, Algebr. Geom. Topol. 6 (2006) 493
3 M Gromov, Partial differential relations, Ergebnisse series 9, Springer (1986) MR864505
4 M W Hirsch, Immersions of manifolds, Trans. Amer. Math. Soc. 93 (1959) 242 MR0119214
5 A V Inshakov, Invariants of types $j^+, j^-$ and $\mathrm st$ of smooth curves on two-dimensional manifolds, Funktsional. Anal. i Prilozhen. 33 (1999) 35, 96 MR1724268
6 J Jost, Riemannian geometry and geometric analysis, Universitext, Springer (1998) MR1625976
7 L A Lyusternik, A I Fet, Variational problems on closed manifolds, Doklady Akad. Nauk SSSR $($N.S.$)$ 81 (1951) 17 MR0044760
8 S Smale, The classification of immersions of spheres in Euclidean spaces, Ann. of Math. $(2)$ 69 (1959) 327 MR0105117
9 V Tchernov, Arnold-type invariants of wave fronts on surfaces, Topology 41 (2002) 1 MR1871239