Geodesic
Curvature functionals for curves in the equi-affine plane
Czechoslovak Mathematical Journal, Tome 61 (2011) no. 2, pp. 419-435

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

After having given the general variational formula for the functionals indicated in the title, the critical points of the integral of the equi-affine curvature under area constraint and the critical points of the full-affine arc-length are studied in greater detail. Notice. An extended version of this article is available on arXiv:0912.4075.
DOI : 10.1007/s10587-011-0064-4
Classification : 49K05, 49K15, 49Q05, 53A15
Keywords: curvature functionals; variational problems; affine curves 
@article{10_1007_s10587_011_0064_4,
     author = {Verpoort, Steven},
     title = {Curvature functionals for curves in the equi-affine plane},
     journal = {Czechoslovak Mathematical Journal},
     pages = {419--435},
     publisher = {mathdoc},
     volume = {61},
     number = {2},
     year = {2011},
     doi = {10.1007/s10587-011-0064-4},
     mrnumber = {2905414},
     zbl = {1249.49028},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1007/s10587-011-0064-4/}
}
TY  - JOUR
AU  - Verpoort, Steven
TI  - Curvature functionals for curves in the equi-affine plane
JO  - Czechoslovak Mathematical Journal
PY  - 2011
SP  - 419
EP  - 435
VL  - 61
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1007/s10587-011-0064-4/
DO  - 10.1007/s10587-011-0064-4
LA  - en
ID  - 10_1007_s10587_011_0064_4
ER  - 
%0 Journal Article
%A Verpoort, Steven
%T Curvature functionals for curves in the equi-affine plane
%J Czechoslovak Mathematical Journal
%D 2011
%P 419-435
%V 61
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1007/s10587-011-0064-4/
%R 10.1007/s10587-011-0064-4
%G en
%F 10_1007_s10587_011_0064_4
Verpoort, Steven. Curvature functionals for curves in the equi-affine plane. Czechoslovak Mathematical Journal, Tome 61 (2011) no. 2, pp. 419-435. doi: 10.1007/s10587-011-0064-4

Cité par Sources :