Curvature functionals for curves in the equi-affine plane

Steven Verpoort

Czechoslovak Mathematical Journal (2011)

  • Volume: 61, Issue: 2, page 419-435
  • ISSN: 0011-4642

Abstract

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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.

How to cite

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Verpoort, Steven. "Curvature functionals for curves in the equi-affine plane." Czechoslovak Mathematical Journal 61.2 (2011): 419-435. <http://eudml.org/doc/196380>.

@article{Verpoort2011,
abstract = {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.},
author = {Verpoort, Steven},
journal = {Czechoslovak Mathematical Journal},
keywords = {curvature functionals; variational problems; affine curves; curvature functional; variational problem; affine curve},
language = {eng},
number = {2},
pages = {419-435},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Curvature functionals for curves in the equi-affine plane},
url = {http://eudml.org/doc/196380},
volume = {61},
year = {2011},
}

TY - JOUR
AU - Verpoort, Steven
TI - Curvature functionals for curves in the equi-affine plane
JO - Czechoslovak Mathematical Journal
PY - 2011
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 61
IS - 2
SP - 419
EP - 435
AB - 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.
LA - eng
KW - curvature functionals; variational problems; affine curves; curvature functional; variational problem; affine curve
UR - http://eudml.org/doc/196380
ER -

References

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  21. Verpoort, S., Curvature Functionals for Curves in the Equi-Affine Plane (an extended version of the current article), arXiv:0912.4075. MR2905414

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