Geodesic
Parallel hypersurfaces
Barbara Opozda1 ; Udo Simon2
1 Wydział Matematyki i Informatyki UJ Łojasiewicza 6 30-048 Kraków, Poland
2 Mathematisches Institut MA 8-3 TU Berlin Straße des 17. Juni 136 D-10623 Berlin, Germany
Annales Polonici Mathematici, Tome 111 (2014) no. 2, pp. 107-135

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We investigate parallel hypersurfaces in the context of relative hypersurface geometry, in particular including the cases of Euclidean and Blaschke hypersurfaces. We describe the geometric relations between parallel hypersurfaces in terms of deformation operators, and we apply the results to the parallel deformation of special classes of hypersurfaces, e.g. quadrics and Weingarten hypersurfaces.
DOI : 10.4064/ap111-2-1
Keywords: investigate parallel hypersurfaces context relative hypersurface geometry particular including cases euclidean blaschke hypersurfaces describe geometric relations between parallel hypersurfaces terms deformation operators apply results parallel deformation special classes hypersurfaces quadrics weingarten hypersurfaces

Barbara Opozda 1 ; Udo Simon 2

1 Wydział Matematyki i Informatyki UJ Łojasiewicza 6 30-048 Kraków, Poland
2 Mathematisches Institut MA 8-3 TU Berlin Straße des 17. Juni 136 D-10623 Berlin, Germany 
@article{10_4064_ap111_2_1,
     author = {Barbara Opozda and Udo Simon},
     title = {Parallel hypersurfaces},
     journal = {Annales Polonici Mathematici},
     pages = {107--135},
     publisher = {mathdoc},
     volume = {111},
     number = {2},
     year = {2014},
     doi = {10.4064/ap111-2-1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap111-2-1/}
}
TY  - JOUR
AU  - Barbara Opozda
AU  - Udo Simon
TI  - Parallel hypersurfaces
JO  - Annales Polonici Mathematici
PY  - 2014
SP  - 107
EP  - 135
VL  - 111
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap111-2-1/
DO  - 10.4064/ap111-2-1
LA  - en
ID  - 10_4064_ap111_2_1
ER  - 
%0 Journal Article
%A Barbara Opozda
%A Udo Simon
%T Parallel hypersurfaces
%J Annales Polonici Mathematici
%D 2014
%P 107-135
%V 111
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap111-2-1/
%R 10.4064/ap111-2-1
%G en
%F 10_4064_ap111_2_1
Barbara Opozda; Udo Simon. Parallel hypersurfaces. Annales Polonici Mathematici, Tome 111 (2014) no. 2, pp. 107-135. doi: 10.4064/ap111-2-1

Cité par Sources :