Invariance groups of relative normals

• Autorzy: Thomas Binder , Martin Wiehe
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 53A15: Affine differential geometry
• 53A10: Minimal surfaces, surfaces with prescribed mean curvature

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2005
• Tom: 69
• Numer: 1
• Strony: 171-178

Daty

wydano

2005

Twórcy

autor

Thomas Binder

• Institute for Neuro- and Bioinformatics, University of Lübeck, Ratzeburger Allee 160, D-23538 Lübeck, Germany

autor

Martin Wiehe

• Institute for Mathematics, Technische Universität Berlin, Strasse des 17. Juni 136, D-10623 Berlin, Germany

Identyfikatory

DOI

10.4064/bc69-0-12