Singularities of Gauss Map of Pedal Hypersurface in R n +1

كلية العلوم

Assiut University

Singularities of Gauss Map of Pedal Hypersurface in R n +1

Research Authors
M. A. Soliman , Nassar. H. Abdel-All , Soad. A. Hassan and E. Dahi
Research Abstract

This paper mainly studies the singularities of Gauss Map of pedal hypersurface in R
n +1
. It contains the
geometry of pedal hypersurfaces in R
n +1
and their Gauss maps. The singularity of Gauss map of the pedal
hypersurface using the rank of jacobian matrix of Gauss map is given and classified. The sets of singularities and its
graphs under the Gauss map are plotted.

Research Department
Department of Mathematics
Research Journal
Life Science Journal
Research Member
Soad Ali Hasan Jadallah
Research Vol
Vol.8,No.4
Research Website
http://www.lifesciencesite.com/lsj/life0804/016_7084life0804_102_107.pdf
Research Year
2011
Research Pages
PP. 102-107