Geodesic
Parallel hypersurfaces
Barbara Opozda1 ; Udo Simon2
1Wydział Matematyki i Informatyki UJ Łojasiewicza 6 30-048 Kraków, Poland
2Mathematisches 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
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 
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Barbara Opozda; Udo Simon. Parallel hypersurfaces. Annales Polonici Mathematici, Tome 111 (2014) no. 2, pp. 107-135. doi: 10.4064/ap111-2-1

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