Some new characteristic properties of the A-Pedal hypersurfaces in En+1


Sarioǧlugil A., Tül S., KURUOĞLU N.

Missouri Journal of Mathematical Sciences, vol.24, no.2, pp.156-166, 2012 (Scopus) identifier

Abstract

The primary purpose of this paper is to present the definition of the a-pedal hypersurface with respect to a point in the interior of a closed, convex and smooth hypersurface M. The secondary purpose of this paper is to give some new characteristic properties of the a-pedal hypersurfaces related to the support function, Gauss curvature, mean curvature, the first and second fundamental forms and their coefficients of M (Section 3). Using the classical methods of the hypersurfaces in differential geometry we have established that the support function ha of the a-pedal hypersurface Ma is equal to ha+1/Pa where. 2012 © Central Missouri State University, Department of Mathematics and Computer Science.