On the some new characteristic properties of the a-pedal hypersurface of a hypersurface with the constant support function in (n+1)-dimensional euclidean space $/E^{n+1}$

KURUOĞLU, Nuri; SARIOĞLUGİL, Ayhan

On the some new characteristic properties of the a-pedal hypersurface of a hypersurface with the constant support function in (n+1)-dimensional euclidean space $/E^{n+1}$

Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, cilt.47, sa.1-2, ss.19-26, 1998 (Hakemli Dergi)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 47 Sayı: 1-2
Basım Tarihi: 1998
Dergi Adı: Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
Derginin Tarandığı İndeksler: TR DİZİN (ULAKBİM)
Sayfa Sayıları: ss.19-26
Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

The purpose of this paper is, first, to present the definition of the a-pedal hypersurface of a given smooth, connected and orientable surface M in $/E^{n+1}$ (chapter I) and if M is taken as a hypersurface with constant support function, then we will give the some new characteristic properties of the a-pedal hypersurface of M related to support function, the area element, the higher order Gaussian curvatures, the characteristic polynom, the first, second and third fundamental forms and their coefficients of M (chapter II).