Pré-Publication, Document De Travail Année : 2014

Plane Lorentzian and Fuchsian hedgehogs

Résumé

Parts of the Brunn-Minkowski theory can be extended to hedgehogs, which are envelopes of families of affine hyperplanes parametrized by their Gauss map. In [F], F. Fillastre introduced Fuchsian convex bodies, which are the closed convex sets of Lorentz-Minkowski space that are globally invariant under the action of a Fuchsian group. In this paper, we undertake a study of plane Lorentzian and Fuchsian hedgehogs. In particular, we prove the Fuchsian analogues of classical geometrical inequalities (analogues which are reversed as compared to classical ones).

Fichier principal
Vignette du fichier
Fuchsian_and_Lorentzian.pdf (277.78 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Licence
Loading...

Dates et versions

hal-01054386 , version 1 (06-08-2014)

Licence

Identifiants

  • HAL Id : hal-01054386 , version 1

Citer

Yves Martinez-Maure. Plane Lorentzian and Fuchsian hedgehogs. 2014. ⟨hal-01054386⟩
216 Consultations
252 Téléchargements

Partager

  • More