Invariance groups of relative normals

Thomas Binder, and Martin Wiehe. "Invariance groups of relative normals." Banach Center Publications 69.1 (2005): 171-178. <http://eudml.org/doc/281766>.

@article{ThomasBinder2005,
abstract = {We investigate a two-parameter family of relative normals that contains Manhart's one-parameter family and the centroaffine normal. The invariance group of each of these normals is classified, and variational problems are studied. The results are Euler-Lagrange equations for the hypersurfaces that are critical with respect to the area functionals of the induced and semi-Riemannian volume forms and a classification of the critical hyperovaloids in the two-parameter family.},
author = {Thomas Binder, Martin Wiehe},
journal = {Banach Center Publications},
keywords = {affine hypersurface; affine conormal; Euler-Lagrange equation},
language = {eng},
number = {1},
pages = {171-178},
title = {Invariance groups of relative normals},
url = {http://eudml.org/doc/281766},
volume = {69},
year = {2005},
}

TY - JOUR
AU - Thomas Binder
AU - Martin Wiehe
TI - Invariance groups of relative normals
JO - Banach Center Publications
PY - 2005
VL - 69
IS - 1
SP - 171
EP - 178
AB - We investigate a two-parameter family of relative normals that contains Manhart's one-parameter family and the centroaffine normal. The invariance group of each of these normals is classified, and variational problems are studied. The results are Euler-Lagrange equations for the hypersurfaces that are critical with respect to the area functionals of the induced and semi-Riemannian volume forms and a classification of the critical hyperovaloids in the two-parameter family.
LA - eng
KW - affine hypersurface; affine conormal; Euler-Lagrange equation
UR - http://eudml.org/doc/281766
ER -